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What is the Least Common Multiple of 56939 and 56952?

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 56939 and 56952 is 3242789928.

LCM(56939,56952) = 3242789928

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Least Common Multiple of 56939 and 56952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56939 and 56952, than apply into the LCM equation.

GCF(56939,56952) = 1
LCM(56939,56952) = ( 56939 × 56952) / 1
LCM(56939,56952) = 3242789928 / 1
LCM(56939,56952) = 3242789928

Least Common Multiple (LCM) of 56939 and 56952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56939 and 56952. First we will calculate the prime factors of 56939 and 56952.

Prime Factorization of 56939

Prime factors of 56939 are 97, 587. Prime factorization of 56939 in exponential form is:

56939 = 971 × 5871

Prime Factorization of 56952

Prime factors of 56952 are 2, 3, 7, 113. Prime factorization of 56952 in exponential form is:

56952 = 23 × 32 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 56939 and 56952.

LCM(56939,56952) = 971 × 5871 × 23 × 32 × 71 × 1131
LCM(56939,56952) = 3242789928