What is the Least Common Multiple of 85700 and 85705?

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 85705 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 85705, than apply into the LCM equation.

GCF(85700,85705) = 5
LCM(85700,85705) = ( 85700 × 85705) / 5
LCM(85700,85705) = 7344918500 / 5
LCM(85700,85705) = 1468983700

Least Common Multiple (LCM) of 85700 and 85705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85700 and 85705. First we will calculate the prime factors of 85700 and 85705.

Prime Factorization of 85700

Prime Factorization of 85705

Now multiplying the highest exponent prime factors to calculate the LCM of 85700 and 85705.

LCM(85700,85705) = 2² × 5² × 857¹ × 61¹ × 281¹
LCM(85700,85705) = 1468983700