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What is the Least Common Multiple of 56115 and 56128?

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 56115 and 56128 is 3149622720.

LCM(56115,56128) = 3149622720

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Least Common Multiple of 56115 and 56128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56115 and 56128, than apply into the LCM equation.

GCF(56115,56128) = 1
LCM(56115,56128) = ( 56115 × 56128) / 1
LCM(56115,56128) = 3149622720 / 1
LCM(56115,56128) = 3149622720

Least Common Multiple (LCM) of 56115 and 56128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56115 and 56128. First we will calculate the prime factors of 56115 and 56128.

Prime Factorization of 56115

Prime factors of 56115 are 3, 5, 29, 43. Prime factorization of 56115 in exponential form is:

56115 = 32 × 51 × 291 × 431

Prime Factorization of 56128

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

56128 = 26 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 56115 and 56128.

LCM(56115,56128) = 32 × 51 × 291 × 431 × 26 × 8771
LCM(56115,56128) = 3149622720