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What is the Least Common Multiple of 56369 and 56378?

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 56369 and 56378 is 3177971482.

LCM(56369,56378) = 3177971482

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Least Common Multiple of 56369 and 56378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56369 and 56378, than apply into the LCM equation.

GCF(56369,56378) = 1
LCM(56369,56378) = ( 56369 × 56378) / 1
LCM(56369,56378) = 3177971482 / 1
LCM(56369,56378) = 3177971482

Least Common Multiple (LCM) of 56369 and 56378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56369 and 56378. First we will calculate the prime factors of 56369 and 56378.

Prime Factorization of 56369

Prime factors of 56369 are 56369. Prime factorization of 56369 in exponential form is:

56369 = 563691

Prime Factorization of 56378

Prime factors of 56378 are 2, 7, 4027. Prime factorization of 56378 in exponential form is:

56378 = 21 × 71 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 56369 and 56378.

LCM(56369,56378) = 563691 × 21 × 71 × 40271
LCM(56369,56378) = 3177971482