What is the Least Common Multiple of 85385 and 85400?

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 85385 and 85400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85385 and 85400, than apply into the LCM equation.

GCF(85385,85400) = 5
LCM(85385,85400) = ( 85385 × 85400) / 5
LCM(85385,85400) = 7291879000 / 5
LCM(85385,85400) = 1458375800

Least Common Multiple (LCM) of 85385 and 85400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85385 and 85400. First we will calculate the prime factors of 85385 and 85400.

Prime Factorization of 85385

Prime Factorization of 85400

Now multiplying the highest exponent prime factors to calculate the LCM of 85385 and 85400.

LCM(85385,85400) = 5² × 17077¹ × 2³ × 7¹ × 61¹
LCM(85385,85400) = 1458375800