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What is the Least Common Multiple of 36951 and 36962?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 36951 and 36962 is 1365782862.

LCM(36951,36962) = 1365782862

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Least Common Multiple of 36951 and 36962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36951 and 36962, than apply into the LCM equation.

GCF(36951,36962) = 1
LCM(36951,36962) = ( 36951 × 36962) / 1
LCM(36951,36962) = 1365782862 / 1
LCM(36951,36962) = 1365782862

Least Common Multiple (LCM) of 36951 and 36962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36951 and 36962. First we will calculate the prime factors of 36951 and 36962.

Prime Factorization of 36951

Prime factors of 36951 are 3, 109, 113. Prime factorization of 36951 in exponential form is:

36951 = 31 × 1091 × 1131

Prime Factorization of 36962

Prime factors of 36962 are 2, 18481. Prime factorization of 36962 in exponential form is:

36962 = 21 × 184811

Now multiplying the highest exponent prime factors to calculate the LCM of 36951 and 36962.

LCM(36951,36962) = 31 × 1091 × 1131 × 21 × 184811
LCM(36951,36962) = 1365782862