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What is the Least Common Multiple of 57026 and 57044?

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 57026 and 57044 is 1626495572.

LCM(57026,57044) = 1626495572

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Least Common Multiple of 57026 and 57044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57026 and 57044, than apply into the LCM equation.

GCF(57026,57044) = 2
LCM(57026,57044) = ( 57026 × 57044) / 2
LCM(57026,57044) = 3252991144 / 2
LCM(57026,57044) = 1626495572

Least Common Multiple (LCM) of 57026 and 57044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57026 and 57044. First we will calculate the prime factors of 57026 and 57044.

Prime Factorization of 57026

Prime factors of 57026 are 2, 28513. Prime factorization of 57026 in exponential form is:

57026 = 21 × 285131

Prime Factorization of 57044

Prime factors of 57044 are 2, 13, 1097. Prime factorization of 57044 in exponential form is:

57044 = 22 × 131 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 57026 and 57044.

LCM(57026,57044) = 22 × 285131 × 131 × 10971
LCM(57026,57044) = 1626495572