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What is the Least Common Multiple of 92640 and 92658?

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 92640 and 92658 is 1430639520.

LCM(92640,92658) = 1430639520

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Least Common Multiple of 92640 and 92658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92640 and 92658, than apply into the LCM equation.

GCF(92640,92658) = 6
LCM(92640,92658) = ( 92640 × 92658) / 6
LCM(92640,92658) = 8583837120 / 6
LCM(92640,92658) = 1430639520

Least Common Multiple (LCM) of 92640 and 92658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92640 and 92658. First we will calculate the prime factors of 92640 and 92658.

Prime Factorization of 92640

Prime factors of 92640 are 2, 3, 5, 193. Prime factorization of 92640 in exponential form is:

92640 = 25 × 31 × 51 × 1931

Prime Factorization of 92658

Prime factors of 92658 are 2, 3, 15443. Prime factorization of 92658 in exponential form is:

92658 = 21 × 31 × 154431

Now multiplying the highest exponent prime factors to calculate the LCM of 92640 and 92658.

LCM(92640,92658) = 25 × 31 × 51 × 1931 × 154431
LCM(92640,92658) = 1430639520