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What is the Least Common Multiple of 56369 and 56376?

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 56376 is 3177858744.

LCM(56369,56376) = 3177858744

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Least Common Multiple of 56369 and 56376 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 56376, than apply into the LCM equation.

GCF(56369,56376) = 1
LCM(56369,56376) = ( 56369 × 56376) / 1
LCM(56369,56376) = 3177858744 / 1
LCM(56369,56376) = 3177858744

Least Common Multiple (LCM) of 56369 and 56376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56369 and 56376. First we will calculate the prime factors of 56369 and 56376.

Prime Factorization of 56369

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

56369 = 563691

Prime Factorization of 56376

Prime factors of 56376 are 2, 3, 29. Prime factorization of 56376 in exponential form is:

56376 = 23 × 35 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 56369 and 56376.

LCM(56369,56376) = 563691 × 23 × 35 × 291
LCM(56369,56376) = 3177858744