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What is the Least Common Multiple of 56415 and 56432?

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 56415 and 56432 is 3183611280.

LCM(56415,56432) = 3183611280

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Least Common Multiple of 56415 and 56432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56415 and 56432, than apply into the LCM equation.

GCF(56415,56432) = 1
LCM(56415,56432) = ( 56415 × 56432) / 1
LCM(56415,56432) = 3183611280 / 1
LCM(56415,56432) = 3183611280

Least Common Multiple (LCM) of 56415 and 56432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56415 and 56432. First we will calculate the prime factors of 56415 and 56432.

Prime Factorization of 56415

Prime factors of 56415 are 3, 5, 3761. Prime factorization of 56415 in exponential form is:

56415 = 31 × 51 × 37611

Prime Factorization of 56432

Prime factors of 56432 are 2, 3527. Prime factorization of 56432 in exponential form is:

56432 = 24 × 35271

Now multiplying the highest exponent prime factors to calculate the LCM of 56415 and 56432.

LCM(56415,56432) = 31 × 51 × 37611 × 24 × 35271
LCM(56415,56432) = 3183611280