What is the Least Common Multiple of 85509 and 85524?

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 85509 and 85524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85509 and 85524, than apply into the LCM equation.

GCF(85509,85524) = 3
LCM(85509,85524) = ( 85509 × 85524) / 3
LCM(85509,85524) = 7313071716 / 3
LCM(85509,85524) = 2437690572

Least Common Multiple (LCM) of 85509 and 85524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85509 and 85524. First we will calculate the prime factors of 85509 and 85524.

Prime Factorization of 85509

Prime Factorization of 85524

Now multiplying the highest exponent prime factors to calculate the LCM of 85509 and 85524.

LCM(85509,85524) = 3³ × 3167¹ × 2² × 7127¹
LCM(85509,85524) = 2437690572