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What is the Least Common Multiple of 92624 and 92632?

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 92624 and 92632 is 1072493296.

LCM(92624,92632) = 1072493296

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Least Common Multiple of 92624 and 92632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92624 and 92632, than apply into the LCM equation.

GCF(92624,92632) = 8
LCM(92624,92632) = ( 92624 × 92632) / 8
LCM(92624,92632) = 8579946368 / 8
LCM(92624,92632) = 1072493296

Least Common Multiple (LCM) of 92624 and 92632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92624 and 92632. First we will calculate the prime factors of 92624 and 92632.

Prime Factorization of 92624

Prime factors of 92624 are 2, 7, 827. Prime factorization of 92624 in exponential form is:

92624 = 24 × 71 × 8271

Prime Factorization of 92632

Prime factors of 92632 are 2, 11579. Prime factorization of 92632 in exponential form is:

92632 = 23 × 115791

Now multiplying the highest exponent prime factors to calculate the LCM of 92624 and 92632.

LCM(92624,92632) = 24 × 71 × 8271 × 115791
LCM(92624,92632) = 1072493296