What is the Least Common Multiple of 82668 and 82675?

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 82668 and 82675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82668 and 82675, than apply into the LCM equation.

GCF(82668,82675) = 1
LCM(82668,82675) = ( 82668 × 82675) / 1
LCM(82668,82675) = 6834576900 / 1
LCM(82668,82675) = 6834576900

Least Common Multiple (LCM) of 82668 and 82675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82668 and 82675. First we will calculate the prime factors of 82668 and 82675.

Prime Factorization of 82668

Prime Factorization of 82675

Now multiplying the highest exponent prime factors to calculate the LCM of 82668 and 82675.

LCM(82668,82675) = 2² × 3¹ × 83² × 5² × 3307¹
LCM(82668,82675) = 6834576900