What is the Least Common Multiple of 85524 and 85530?

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 85524 and 85530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85524 and 85530, than apply into the LCM equation.

GCF(85524,85530) = 6
LCM(85524,85530) = ( 85524 × 85530) / 6
LCM(85524,85530) = 7314867720 / 6
LCM(85524,85530) = 1219144620

Least Common Multiple (LCM) of 85524 and 85530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85524 and 85530. First we will calculate the prime factors of 85524 and 85530.

Prime Factorization of 85524

Prime Factorization of 85530

Now multiplying the highest exponent prime factors to calculate the LCM of 85524 and 85530.

LCM(85524,85530) = 2² × 3¹ × 7127¹ × 5¹ × 2851¹
LCM(85524,85530) = 1219144620