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What is the Least Common Multiple of 92638 and 92651?

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 92638 and 92651 is 660231026.

LCM(92638,92651) = 660231026

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Least Common Multiple of 92638 and 92651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92638 and 92651, than apply into the LCM equation.

GCF(92638,92651) = 13
LCM(92638,92651) = ( 92638 × 92651) / 13
LCM(92638,92651) = 8583003338 / 13
LCM(92638,92651) = 660231026

Least Common Multiple (LCM) of 92638 and 92651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92638 and 92651. First we will calculate the prime factors of 92638 and 92651.

Prime Factorization of 92638

Prime factors of 92638 are 2, 7, 13, 509. Prime factorization of 92638 in exponential form is:

92638 = 21 × 71 × 131 × 5091

Prime Factorization of 92651

Prime factors of 92651 are 13, 7127. Prime factorization of 92651 in exponential form is:

92651 = 131 × 71271

Now multiplying the highest exponent prime factors to calculate the LCM of 92638 and 92651.

LCM(92638,92651) = 21 × 71 × 131 × 5091 × 71271
LCM(92638,92651) = 660231026