What is the Least Common Multiple of 85694 and 85700?

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 85694 and 85700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85694 and 85700, than apply into the LCM equation.

GCF(85694,85700) = 2
LCM(85694,85700) = ( 85694 × 85700) / 2
LCM(85694,85700) = 7343975800 / 2
LCM(85694,85700) = 3671987900

Least Common Multiple (LCM) of 85694 and 85700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85694 and 85700. First we will calculate the prime factors of 85694 and 85700.

Prime Factorization of 85694

Prime Factorization of 85700

Now multiplying the highest exponent prime factors to calculate the LCM of 85694 and 85700.

LCM(85694,85700) = 2² × 7¹ × 6121¹ × 5² × 857¹
LCM(85694,85700) = 3671987900