What is the Least Common Multiple of 82692 and 82710?

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 of 82692 and 82710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82692 and 82710, than apply into the LCM equation.

GCF(82692,82710) = 18
LCM(82692,82710) = ( 82692 × 82710) / 18
LCM(82692,82710) = 6839455320 / 18
LCM(82692,82710) = 379969740

Least Common Multiple (LCM) of 82692 and 82710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82692 and 82710. First we will calculate the prime factors of 82692 and 82710.

Prime Factorization of 82692

Prime Factorization of 82710

Now multiplying the highest exponent prime factors to calculate the LCM of 82692 and 82710.

LCM(82692,82710) = 2² × 3² × 2297¹ × 5¹ × 919¹
LCM(82692,82710) = 379969740