What is the Least Common Multiple of 85920 and 85936?

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 85936 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 85936, than apply into the LCM equation.

GCF(85920,85936) = 16
LCM(85920,85936) = ( 85920 × 85936) / 16
LCM(85920,85936) = 7383621120 / 16
LCM(85920,85936) = 461476320

Least Common Multiple (LCM) of 85920 and 85936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85920 and 85936. First we will calculate the prime factors of 85920 and 85936.

Prime Factorization of 85920

Prime Factorization of 85936

Now multiplying the highest exponent prime factors to calculate the LCM of 85920 and 85936.

LCM(85920,85936) = 2⁵ × 3¹ × 5¹ × 179¹ × 41¹ × 131¹
LCM(85920,85936) = 461476320