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What is the Least Common Multiple of 57008 and 57025?

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 57008 and 57025 is 3250881200.

LCM(57008,57025) = 3250881200

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Least Common Multiple of 57008 and 57025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57008 and 57025, than apply into the LCM equation.

GCF(57008,57025) = 1
LCM(57008,57025) = ( 57008 × 57025) / 1
LCM(57008,57025) = 3250881200 / 1
LCM(57008,57025) = 3250881200

Least Common Multiple (LCM) of 57008 and 57025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57008 and 57025. First we will calculate the prime factors of 57008 and 57025.

Prime Factorization of 57008

Prime factors of 57008 are 2, 7, 509. Prime factorization of 57008 in exponential form is:

57008 = 24 × 71 × 5091

Prime Factorization of 57025

Prime factors of 57025 are 5, 2281. Prime factorization of 57025 in exponential form is:

57025 = 52 × 22811

Now multiplying the highest exponent prime factors to calculate the LCM of 57008 and 57025.

LCM(57008,57025) = 24 × 71 × 5091 × 52 × 22811
LCM(57008,57025) = 3250881200