What is the Least Common Multiple of 85700 and 85714?

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 85700 and 85714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85700 and 85714, than apply into the LCM equation.

GCF(85700,85714) = 2
LCM(85700,85714) = ( 85700 × 85714) / 2
LCM(85700,85714) = 7345689800 / 2
LCM(85700,85714) = 3672844900

Least Common Multiple (LCM) of 85700 and 85714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85700 and 85714. First we will calculate the prime factors of 85700 and 85714.

Prime Factorization of 85700

Prime Factorization of 85714

Now multiplying the highest exponent prime factors to calculate the LCM of 85700 and 85714.

LCM(85700,85714) = 2² × 5² × 857¹ × 17¹ × 2521¹
LCM(85700,85714) = 3672844900