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What is the Least Common Multiple of 92629 and 92646?

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 92629 and 92646 is 8581706334.

LCM(92629,92646) = 8581706334

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Least Common Multiple of 92629 and 92646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92629 and 92646, than apply into the LCM equation.

GCF(92629,92646) = 1
LCM(92629,92646) = ( 92629 × 92646) / 1
LCM(92629,92646) = 8581706334 / 1
LCM(92629,92646) = 8581706334

Least Common Multiple (LCM) of 92629 and 92646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92629 and 92646. First we will calculate the prime factors of 92629 and 92646.

Prime Factorization of 92629

Prime factors of 92629 are 211, 439. Prime factorization of 92629 in exponential form is:

92629 = 2111 × 4391

Prime Factorization of 92646

Prime factors of 92646 are 2, 3, 5147. Prime factorization of 92646 in exponential form is:

92646 = 21 × 32 × 51471

Now multiplying the highest exponent prime factors to calculate the LCM of 92629 and 92646.

LCM(92629,92646) = 2111 × 4391 × 21 × 32 × 51471
LCM(92629,92646) = 8581706334