What is the Least Common Multiple of 85350 and 85356?

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 85350 and 85356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85350 and 85356, than apply into the LCM equation.

GCF(85350,85356) = 6
LCM(85350,85356) = ( 85350 × 85356) / 6
LCM(85350,85356) = 7285134600 / 6
LCM(85350,85356) = 1214189100

Least Common Multiple (LCM) of 85350 and 85356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85350 and 85356. First we will calculate the prime factors of 85350 and 85356.

Prime Factorization of 85350

Prime Factorization of 85356

Now multiplying the highest exponent prime factors to calculate the LCM of 85350 and 85356.

LCM(85350,85356) = 2² × 3² × 5² × 569¹ × 2371¹
LCM(85350,85356) = 1214189100