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What is the Least Common Multiple of 56376 and 56394?

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 56376 and 56394 is 176626008.

LCM(56376,56394) = 176626008

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Least Common Multiple of 56376 and 56394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56376 and 56394, than apply into the LCM equation.

GCF(56376,56394) = 18
LCM(56376,56394) = ( 56376 × 56394) / 18
LCM(56376,56394) = 3179268144 / 18
LCM(56376,56394) = 176626008

Least Common Multiple (LCM) of 56376 and 56394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56376 and 56394. First we will calculate the prime factors of 56376 and 56394.

Prime Factorization of 56376

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

56376 = 23 × 35 × 291

Prime Factorization of 56394

Prime factors of 56394 are 2, 3, 13, 241. Prime factorization of 56394 in exponential form is:

56394 = 21 × 32 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 56376 and 56394.

LCM(56376,56394) = 23 × 35 × 291 × 131 × 2411
LCM(56376,56394) = 176626008