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What is the least common multiple of 8 and 6 ?

lcm(8,6)=

What is the least common multiple of 88 and 66 ?\newlinelcm(8,6)= \operatorname{lcm}(8,6)=

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Q. What is the least common multiple of 88 and 66 ?\newlinelcm(8,6)= \operatorname{lcm}(8,6)=
  1. Identify prime factorization of 88: Identify the prime factorization of 88.\newlinePrime factorization of 88: 2×2×22 \times 2 \times 2
  2. Identify prime factorization of 66: Identify the prime factorization of 66.\newlinePrime factorization of 66: 2×32 \times 3
  3. Identify distinct prime factors: Identify all the distinct prime factors from the prime factorizations of the two numbers.\newlineDistinct prime factors: 22, 33
  4. Choose highest power for each prime factor: For each distinct prime factor, choose the highest power of it that appears in either factorization.\newlineFor 22: The highest power in the factorizations is 232^3 (from 88).\newlineFor 33: The highest power in the factorizations is 313^1 (from 66).
  5. Multiply chosen powers to find LCM: Multiply these chosen powers together to find the least common multiple (LCM).\newlineMultiply 232^3 and 313^1 to find the LCM.\newline23×31=8×3=242^3 \times 3^1 = 8 \times 3 = 24\newlineLCM of 88 and 66 is 2424.

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