Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the least common multiple of 8 and 12 ?

lcm(8,12)=

What is the least common multiple of $8$ and $12$ ? $\newline$ $\operatorname{lcm}(8,12)=$

View step-by-step help

View step-by-step help

Least common multiple of three or four numbers

Full solution

Q. What is the least common multiple of

8

and

12

?

\newline

\operatorname{lcm}(8,12)=

Identify prime factorization of $8$ : Identify the prime factorization of $8$ . $\newline$ Prime factorization of $8$ : $2 \times 2 \times 2$ (which is $2^3$ )
Identify prime factorization of $12$ : Identify the prime factorization of $12$ . $\newline$ Prime factorization of $12$ : $2 \times 2 \times 3$ (which is $2^2 \times 3$ )
Identify distinct prime factors: Identify all the distinct prime factors from the prime factorizations of both numbers. $\newline$ Distinct prime factors: $2$ , $3$
Choose highest power for each prime factor: For each distinct prime factor, choose the highest power of it that appears in either factorization. $\newline$ For $2$ , the highest power is $2^3$ (from $8$ ). $\newline$ For $3$ , the highest power is $3^1$ (from $12$ ).
Multiply highest powers to find LCM: Multiply these highest powers together to find the least common multiple (LCM). $\newline$ Multiply $2^3$ and $3^1$ to find the LCM. $\newline$ $2^3 \times 3^1 = 8 \times 3 = 24$ $\newline$ LCM of $8$ and $12$ is $24$ .

More problems from Least common multiple of three or four numbers

Question

What is the least common multiple of

10

7

\newline

\operatorname{lcm}(10,7)=

Posted 4 months ago

Question

What is the least common multiple of

3

10

\newline

\operatorname{lcm}(3,10)=

Posted 4 months ago

Question

What is the least common multiple of

6

16

\newline

\operatorname{lcm}(6,16)=

Posted 4 months ago

Question

What is the least common multiple of

8

6

\newline

\operatorname{lcm}(8,6)=

Posted 4 months ago

Question

What is the least common multiple of

4

6

\newline

\operatorname{lcm}(4,6)=

Posted 4 months ago

Question

What is the least common multiple of

3

9

\newline

\operatorname{lcm}(3,9)=

Posted 4 months ago

Question

What is the least common multiple of

6

10

\newline

\operatorname{lcm}(6,10)=

Posted 4 months ago

Question

What is the least common multiple of

14

4

\newline

\operatorname{lcm}(14,4)=

Posted 4 months ago

Question

What is the least common multiple of

9

6

\newline

\operatorname{lcm}(9,6)=

Posted 4 months ago

Question

\int_{0}^{\ln 2} 3 x e^{x}\left(e^{x}-1\right)^{2} d x

Posted 11 hours ago