GCF and LCM Calculator Logo

What is the Least Common Multiple of 92718 and 92725?

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 92718 and 92725 is 8597276550.

LCM(92718,92725) = 8597276550

LCM Calculator and
and

Least Common Multiple of 92718 and 92725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92718 and 92725, than apply into the LCM equation.

GCF(92718,92725) = 1
LCM(92718,92725) = ( 92718 × 92725) / 1
LCM(92718,92725) = 8597276550 / 1
LCM(92718,92725) = 8597276550

Least Common Multiple (LCM) of 92718 and 92725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92718 and 92725. First we will calculate the prime factors of 92718 and 92725.

Prime Factorization of 92718

Prime factors of 92718 are 2, 3, 17, 101. Prime factorization of 92718 in exponential form is:

92718 = 21 × 33 × 171 × 1011

Prime Factorization of 92725

Prime factors of 92725 are 5, 3709. Prime factorization of 92725 in exponential form is:

92725 = 52 × 37091

Now multiplying the highest exponent prime factors to calculate the LCM of 92718 and 92725.

LCM(92718,92725) = 21 × 33 × 171 × 1011 × 52 × 37091
LCM(92718,92725) = 8597276550