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What is the Least Common Multiple of 56128 and 56136?

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 56128 and 56136 is 393850176.

LCM(56128,56136) = 393850176

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Least Common Multiple of 56128 and 56136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56128 and 56136, than apply into the LCM equation.

GCF(56128,56136) = 8
LCM(56128,56136) = ( 56128 × 56136) / 8
LCM(56128,56136) = 3150801408 / 8
LCM(56128,56136) = 393850176

Least Common Multiple (LCM) of 56128 and 56136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56128 and 56136. First we will calculate the prime factors of 56128 and 56136.

Prime Factorization of 56128

Prime factors of 56128 are 2, 877. Prime factorization of 56128 in exponential form is:

56128 = 26 × 8771

Prime Factorization of 56136

Prime factors of 56136 are 2, 3, 2339. Prime factorization of 56136 in exponential form is:

56136 = 23 × 31 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 56128 and 56136.

LCM(56128,56136) = 26 × 8771 × 31 × 23391
LCM(56128,56136) = 393850176