GCF and LCM Calculator Logo

What is the Least Common Multiple of 92692 and 92710?

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 92692 and 92710 is 4296737660.

LCM(92692,92710) = 4296737660

LCM Calculator and
and

Least Common Multiple of 92692 and 92710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92692 and 92710, than apply into the LCM equation.

GCF(92692,92710) = 2
LCM(92692,92710) = ( 92692 × 92710) / 2
LCM(92692,92710) = 8593475320 / 2
LCM(92692,92710) = 4296737660

Least Common Multiple (LCM) of 92692 and 92710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92692 and 92710. First we will calculate the prime factors of 92692 and 92710.

Prime Factorization of 92692

Prime factors of 92692 are 2, 23173. Prime factorization of 92692 in exponential form is:

92692 = 22 × 231731

Prime Factorization of 92710

Prime factors of 92710 are 2, 5, 73, 127. Prime factorization of 92710 in exponential form is:

92710 = 21 × 51 × 731 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 92692 and 92710.

LCM(92692,92710) = 22 × 231731 × 51 × 731 × 1271
LCM(92692,92710) = 4296737660