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What is the Least Common Multiple of 57138 and 57148?

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 57138 and 57148 is 1632661212.

LCM(57138,57148) = 1632661212

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Least Common Multiple of 57138 and 57148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57138 and 57148, than apply into the LCM equation.

GCF(57138,57148) = 2
LCM(57138,57148) = ( 57138 × 57148) / 2
LCM(57138,57148) = 3265322424 / 2
LCM(57138,57148) = 1632661212

Least Common Multiple (LCM) of 57138 and 57148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57138 and 57148. First we will calculate the prime factors of 57138 and 57148.

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

Prime Factorization of 57148

Prime factors of 57148 are 2, 7, 13, 157. Prime factorization of 57148 in exponential form is:

57148 = 22 × 71 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 57138 and 57148.

LCM(57138,57148) = 22 × 31 × 891 × 1071 × 71 × 131 × 1571
LCM(57138,57148) = 1632661212