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What is the Least Common Multiple of 56396 and 56416?

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 56396 and 56416 is 795409184.

LCM(56396,56416) = 795409184

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Least Common Multiple of 56396 and 56416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56396 and 56416, than apply into the LCM equation.

GCF(56396,56416) = 4
LCM(56396,56416) = ( 56396 × 56416) / 4
LCM(56396,56416) = 3181636736 / 4
LCM(56396,56416) = 795409184

Least Common Multiple (LCM) of 56396 and 56416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56396 and 56416. First we will calculate the prime factors of 56396 and 56416.

Prime Factorization of 56396

Prime factors of 56396 are 2, 23, 613. Prime factorization of 56396 in exponential form is:

56396 = 22 × 231 × 6131

Prime Factorization of 56416

Prime factors of 56416 are 2, 41, 43. Prime factorization of 56416 in exponential form is:

56416 = 25 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 56396 and 56416.

LCM(56396,56416) = 25 × 231 × 6131 × 411 × 431
LCM(56396,56416) = 795409184