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What is the Least Common Multiple of 56764 and 56781?

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 56764 and 56781 is 3223116684.

LCM(56764,56781) = 3223116684

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Least Common Multiple of 56764 and 56781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56764 and 56781, than apply into the LCM equation.

GCF(56764,56781) = 1
LCM(56764,56781) = ( 56764 × 56781) / 1
LCM(56764,56781) = 3223116684 / 1
LCM(56764,56781) = 3223116684

Least Common Multiple (LCM) of 56764 and 56781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56764 and 56781. First we will calculate the prime factors of 56764 and 56781.

Prime Factorization of 56764

Prime factors of 56764 are 2, 23, 617. Prime factorization of 56764 in exponential form is:

56764 = 22 × 231 × 6171

Prime Factorization of 56781

Prime factors of 56781 are 3, 701. Prime factorization of 56781 in exponential form is:

56781 = 34 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 56764 and 56781.

LCM(56764,56781) = 22 × 231 × 6171 × 34 × 7011
LCM(56764,56781) = 3223116684