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What is the Least Common Multiple of 56756 and 56765?

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 56756 and 56765 is 3221754340.

LCM(56756,56765) = 3221754340

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Least Common Multiple of 56756 and 56765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56756 and 56765, than apply into the LCM equation.

GCF(56756,56765) = 1
LCM(56756,56765) = ( 56756 × 56765) / 1
LCM(56756,56765) = 3221754340 / 1
LCM(56756,56765) = 3221754340

Least Common Multiple (LCM) of 56756 and 56765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56756 and 56765. First we will calculate the prime factors of 56756 and 56765.

Prime Factorization of 56756

Prime factors of 56756 are 2, 7, 2027. Prime factorization of 56756 in exponential form is:

56756 = 22 × 71 × 20271

Prime Factorization of 56765

Prime factors of 56765 are 5, 11353. Prime factorization of 56765 in exponential form is:

56765 = 51 × 113531

Now multiplying the highest exponent prime factors to calculate the LCM of 56756 and 56765.

LCM(56756,56765) = 22 × 71 × 20271 × 51 × 113531
LCM(56756,56765) = 3221754340