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What is the Least Common Multiple of 56062 and 56077?

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 56062 and 56077 is 3143788774.

LCM(56062,56077) = 3143788774

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Least Common Multiple of 56062 and 56077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56062 and 56077, than apply into the LCM equation.

GCF(56062,56077) = 1
LCM(56062,56077) = ( 56062 × 56077) / 1
LCM(56062,56077) = 3143788774 / 1
LCM(56062,56077) = 3143788774

Least Common Multiple (LCM) of 56062 and 56077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56062 and 56077. First we will calculate the prime factors of 56062 and 56077.

Prime Factorization of 56062

Prime factors of 56062 are 2, 28031. Prime factorization of 56062 in exponential form is:

56062 = 21 × 280311

Prime Factorization of 56077

Prime factors of 56077 are 7, 8011. Prime factorization of 56077 in exponential form is:

56077 = 71 × 80111

Now multiplying the highest exponent prime factors to calculate the LCM of 56062 and 56077.

LCM(56062,56077) = 21 × 280311 × 71 × 80111
LCM(56062,56077) = 3143788774