What is the Least Common Multiple of 85689 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 85689 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 85689 and 85700, than apply into the LCM equation.

GCF(85689,85700) = 1
LCM(85689,85700) = ( 85689 × 85700) / 1
LCM(85689,85700) = 7343547300 / 1
LCM(85689,85700) = 7343547300

Least Common Multiple (LCM) of 85689 and 85700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85689 and 85700. First we will calculate the prime factors of 85689 and 85700.

Prime Factorization of 85689

Prime Factorization of 85700

Now multiplying the highest exponent prime factors to calculate the LCM of 85689 and 85700.

LCM(85689,85700) = 3² × 9521¹ × 2² × 5² × 857¹
LCM(85689,85700) = 7343547300