What is the Least Common Multiple of 68659 and 68675?

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 68659 and 68675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68659 and 68675, than apply into the LCM equation.

GCF(68659,68675) = 1
LCM(68659,68675) = ( 68659 × 68675) / 1
LCM(68659,68675) = 4715156825 / 1
LCM(68659,68675) = 4715156825

Least Common Multiple (LCM) of 68659 and 68675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68659 and 68675. First we will calculate the prime factors of 68659 and 68675.

Prime Factorization of 68659

Prime Factorization of 68675

Now multiplying the highest exponent prime factors to calculate the LCM of 68659 and 68675.

LCM(68659,68675) = 68659¹ × 5² × 41¹ × 67¹
LCM(68659,68675) = 4715156825