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What is the Least Common Multiple of 92642 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 92642 and 92658 is 4292011218.

LCM(92642,92658) = 4292011218

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Least Common Multiple of 92642 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 92642 and 92658, than apply into the LCM equation.

GCF(92642,92658) = 2
LCM(92642,92658) = ( 92642 × 92658) / 2
LCM(92642,92658) = 8584022436 / 2
LCM(92642,92658) = 4292011218

Least Common Multiple (LCM) of 92642 and 92658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92642 and 92658. First we will calculate the prime factors of 92642 and 92658.

Prime Factorization of 92642

Prime factors of 92642 are 2, 11, 4211. Prime factorization of 92642 in exponential form is:

92642 = 21 × 111 × 42111

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 92642 and 92658.

LCM(92642,92658) = 21 × 111 × 42111 × 31 × 154431
LCM(92642,92658) = 4292011218