What is the Least Common Multiple of 85920 and 85925?

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 85920 and 85925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85920 and 85925, than apply into the LCM equation.

GCF(85920,85925) = 5
LCM(85920,85925) = ( 85920 × 85925) / 5
LCM(85920,85925) = 7382676000 / 5
LCM(85920,85925) = 1476535200

Least Common Multiple (LCM) of 85920 and 85925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85920 and 85925. First we will calculate the prime factors of 85920 and 85925.

Prime Factorization of 85920

Prime Factorization of 85925

Now multiplying the highest exponent prime factors to calculate the LCM of 85920 and 85925.

LCM(85920,85925) = 2⁵ × 3¹ × 5² × 179¹ × 7¹ × 491¹
LCM(85920,85925) = 1476535200