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What is the Least Common Multiple of 92616 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 92616 and 92632 is 1072400664.

LCM(92616,92632) = 1072400664

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Least Common Multiple of 92616 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 92616 and 92632, than apply into the LCM equation.

GCF(92616,92632) = 8
LCM(92616,92632) = ( 92616 × 92632) / 8
LCM(92616,92632) = 8579205312 / 8
LCM(92616,92632) = 1072400664

Least Common Multiple (LCM) of 92616 and 92632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92616 and 92632. First we will calculate the prime factors of 92616 and 92632.

Prime Factorization of 92616

Prime factors of 92616 are 2, 3, 17, 227. Prime factorization of 92616 in exponential form is:

92616 = 23 × 31 × 171 × 2271

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 92616 and 92632.

LCM(92616,92632) = 23 × 31 × 171 × 2271 × 115791
LCM(92616,92632) = 1072400664