GCF and LCM Calculator Logo

What is the Least Common Multiple of 92619 and 92624?

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 92619 and 92624 is 8578742256.

LCM(92619,92624) = 8578742256

LCM Calculator and
and

Least Common Multiple of 92619 and 92624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92619 and 92624, than apply into the LCM equation.

GCF(92619,92624) = 1
LCM(92619,92624) = ( 92619 × 92624) / 1
LCM(92619,92624) = 8578742256 / 1
LCM(92619,92624) = 8578742256

Least Common Multiple (LCM) of 92619 and 92624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92619 and 92624. First we will calculate the prime factors of 92619 and 92624.

Prime Factorization of 92619

Prime factors of 92619 are 3, 41, 251. Prime factorization of 92619 in exponential form is:

92619 = 32 × 411 × 2511

Prime Factorization of 92624

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

92624 = 24 × 71 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 92619 and 92624.

LCM(92619,92624) = 32 × 411 × 2511 × 24 × 71 × 8271
LCM(92619,92624) = 8578742256