What is the least common multiple of 6 and 2 ? lcm(6,2)=

Identify prime factorization of 6: Identify the prime factorization of 6. Prime factorization of 6: 2 × 3Identify prime factorization of 2: Identify the prime factorization of 2. Prime factorization of 2: 2Identify distinct prime factors: Identify all the distinct prime factors from the prime factorization of the two numbers. Distinct prime factors: 2, 3Determine LCM with factor of 6: Since 2 is a factor of 6, the least common multiple (LCM) of 6 and 2 must be a multiple of 6.Determine LCM by choosing larger number: Determine the least common multiple (LCM) by choosing the larger number because it already includes the factor of the smaller number. LCM of 6 and 2 is 6.

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Math Problems

Grade 6

Least common multiple of three or four numbers

Full solution

Q. What is the least common multiple of

6

and

2

\newline

\operatorname{lcm}(6,2)=

Identify prime factorization of $6$ : Identify the prime factorization of $6$ . $\newline$ Prime factorization of $6$ : $2 \times 3$
Identify prime factorization of $2$ : Identify the prime factorization of $2$ . $\newline$ Prime factorization of $2$ : $2$
Identify distinct prime factors: Identify all the distinct prime factors from the prime factorization of the two numbers. $\newline$ Distinct prime factors: $2$ , $3$
Determine LCM with factor of $6$ : Since $2$ is a factor of $6$ , the least common multiple (LCM) of $6$ and $2$ must be a multiple of $6$ .
Determine LCM by choosing larger number: Determine the least common multiple (LCM) by choosing the larger number because it already includes the factor of the smaller number. $\newline$ LCM of $6$ and $2$ is $6$ .