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What is the Least Common Multiple of 56014 and 56025?

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 56014 and 56025 is 3138184350.

LCM(56014,56025) = 3138184350

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Least Common Multiple of 56014 and 56025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56014 and 56025, than apply into the LCM equation.

GCF(56014,56025) = 1
LCM(56014,56025) = ( 56014 × 56025) / 1
LCM(56014,56025) = 3138184350 / 1
LCM(56014,56025) = 3138184350

Least Common Multiple (LCM) of 56014 and 56025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56014 and 56025. First we will calculate the prime factors of 56014 and 56025.

Prime Factorization of 56014

Prime factors of 56014 are 2, 7, 4001. Prime factorization of 56014 in exponential form is:

56014 = 21 × 71 × 40011

Prime Factorization of 56025

Prime factors of 56025 are 3, 5, 83. Prime factorization of 56025 in exponential form is:

56025 = 33 × 52 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 56014 and 56025.

LCM(56014,56025) = 21 × 71 × 40011 × 33 × 52 × 831
LCM(56014,56025) = 3138184350