GCF and LCM Calculator Logo

What is the Least Common Multiple of 92748 and 92760?

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 92748 and 92760 is 716942040.

LCM(92748,92760) = 716942040

LCM Calculator and
and

Least Common Multiple of 92748 and 92760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92748 and 92760, than apply into the LCM equation.

GCF(92748,92760) = 12
LCM(92748,92760) = ( 92748 × 92760) / 12
LCM(92748,92760) = 8603304480 / 12
LCM(92748,92760) = 716942040

Least Common Multiple (LCM) of 92748 and 92760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92748 and 92760. First we will calculate the prime factors of 92748 and 92760.

Prime Factorization of 92748

Prime factors of 92748 are 2, 3, 59, 131. Prime factorization of 92748 in exponential form is:

92748 = 22 × 31 × 591 × 1311

Prime Factorization of 92760

Prime factors of 92760 are 2, 3, 5, 773. Prime factorization of 92760 in exponential form is:

92760 = 23 × 31 × 51 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 92748 and 92760.

LCM(92748,92760) = 23 × 31 × 591 × 1311 × 51 × 7731
LCM(92748,92760) = 716942040