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What is the Least Common Multiple of 56128 and 56133?

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 56133 is 3150633024.

LCM(56128,56133) = 3150633024

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Least Common Multiple of 56128 and 56133 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 56133, than apply into the LCM equation.

GCF(56128,56133) = 1
LCM(56128,56133) = ( 56128 × 56133) / 1
LCM(56128,56133) = 3150633024 / 1
LCM(56128,56133) = 3150633024

Least Common Multiple (LCM) of 56128 and 56133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56128 and 56133. First we will calculate the prime factors of 56128 and 56133.

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 56133

Prime factors of 56133 are 3, 7, 11. Prime factorization of 56133 in exponential form is:

56133 = 36 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 56128 and 56133.

LCM(56128,56133) = 26 × 8771 × 36 × 71 × 111
LCM(56128,56133) = 3150633024