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What is the Least Common Multiple of 57126 and 57138?

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 57126 and 57138 is 544010898.

LCM(57126,57138) = 544010898

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Least Common Multiple of 57126 and 57138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57126 and 57138, than apply into the LCM equation.

GCF(57126,57138) = 6
LCM(57126,57138) = ( 57126 × 57138) / 6
LCM(57126,57138) = 3264065388 / 6
LCM(57126,57138) = 544010898

Least Common Multiple (LCM) of 57126 and 57138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57126 and 57138. First we will calculate the prime factors of 57126 and 57138.

Prime Factorization of 57126

Prime factors of 57126 are 2, 3, 9521. Prime factorization of 57126 in exponential form is:

57126 = 21 × 31 × 95211

Prime Factorization of 57138

Prime factors of 57138 are 2, 3, 89, 107. Prime factorization of 57138 in exponential form is:

57138 = 21 × 31 × 891 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 57126 and 57138.

LCM(57126,57138) = 21 × 31 × 95211 × 891 × 1071
LCM(57126,57138) = 544010898