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What is the least common multiple of 3 and 10 ? lcm(3,10)=

What is the least common multiple of 33 and 1010 ?\newlinelcm⁡(3,10)= \operatorname{lcm}(3,10)=

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Q. What is the least common multiple of 33 and 1010 ?\newlinelcm⁡(3,10)= \operatorname{lcm}(3,10)=
  1. Identify Prime Factorization: Identify the prime factorization of 33.\newlinePrime factorization of 33: 33
  2. Find Distinct Prime Factors: Identify the prime factorization of 1010. Prime factorization of 1010: 2×52 \times 5
  3. Calculate Least Common Multiple: Identify all the distinct prime factors from the prime factorization of the two numbers.\newlineDistinct prime factors: 22, 33, 55
  4. Calculate Least Common Multiple: Identify all the distinct prime factors from the prime factorization of the two numbers.\newlineDistinct prime factors: 2,3,52, 3, 5 Multiply the distinct prime factors to find the least common multiple (LCM).\newlineMultiply 2,3,2, 3, and 55 to find the LCM.\newline2×3×5=302 \times 3 \times 5 = 30\newlineLCM of 33 and 1010 is 3030.

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