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What is the Least Common Multiple of 56764 and 56774?

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 56774 is 1611359668.

LCM(56764,56774) = 1611359668

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Least Common Multiple of 56764 and 56774 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 56774, than apply into the LCM equation.

GCF(56764,56774) = 2
LCM(56764,56774) = ( 56764 × 56774) / 2
LCM(56764,56774) = 3222719336 / 2
LCM(56764,56774) = 1611359668

Least Common Multiple (LCM) of 56764 and 56774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56764 and 56774. First we will calculate the prime factors of 56764 and 56774.

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 56774

Prime factors of 56774 are 2, 28387. Prime factorization of 56774 in exponential form is:

56774 = 21 × 283871

Now multiplying the highest exponent prime factors to calculate the LCM of 56764 and 56774.

LCM(56764,56774) = 22 × 231 × 6171 × 283871
LCM(56764,56774) = 1611359668