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What is the Least Common Multiple of 56413 and 56428?

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 56413 and 56428 is 3183272764.

LCM(56413,56428) = 3183272764

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Least Common Multiple of 56413 and 56428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56413 and 56428, than apply into the LCM equation.

GCF(56413,56428) = 1
LCM(56413,56428) = ( 56413 × 56428) / 1
LCM(56413,56428) = 3183272764 / 1
LCM(56413,56428) = 3183272764

Least Common Multiple (LCM) of 56413 and 56428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56413 and 56428. First we will calculate the prime factors of 56413 and 56428.

Prime Factorization of 56413

Prime factors of 56413 are 7, 8059. Prime factorization of 56413 in exponential form is:

56413 = 71 × 80591

Prime Factorization of 56428

Prime factors of 56428 are 2, 14107. Prime factorization of 56428 in exponential form is:

56428 = 22 × 141071

Now multiplying the highest exponent prime factors to calculate the LCM of 56413 and 56428.

LCM(56413,56428) = 71 × 80591 × 22 × 141071
LCM(56413,56428) = 3183272764