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What is the Least Common Multiple of 56007 and 56020?

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 56007 and 56020 is 3137512140.

LCM(56007,56020) = 3137512140

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Least Common Multiple of 56007 and 56020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56007 and 56020, than apply into the LCM equation.

GCF(56007,56020) = 1
LCM(56007,56020) = ( 56007 × 56020) / 1
LCM(56007,56020) = 3137512140 / 1
LCM(56007,56020) = 3137512140

Least Common Multiple (LCM) of 56007 and 56020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56007 and 56020. First we will calculate the prime factors of 56007 and 56020.

Prime Factorization of 56007

Prime factors of 56007 are 3, 7, 127. Prime factorization of 56007 in exponential form is:

56007 = 32 × 72 × 1271

Prime Factorization of 56020

Prime factors of 56020 are 2, 5, 2801. Prime factorization of 56020 in exponential form is:

56020 = 22 × 51 × 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 56007 and 56020.

LCM(56007,56020) = 32 × 72 × 1271 × 22 × 51 × 28011
LCM(56007,56020) = 3137512140