What is the Least Common Multiple of 85920 and 85940?

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 85940 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 85940, than apply into the LCM equation.

GCF(85920,85940) = 20
LCM(85920,85940) = ( 85920 × 85940) / 20
LCM(85920,85940) = 7383964800 / 20
LCM(85920,85940) = 369198240

Least Common Multiple (LCM) of 85920 and 85940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85920 and 85940. First we will calculate the prime factors of 85920 and 85940.

Prime Factorization of 85920

Prime Factorization of 85940

Now multiplying the highest exponent prime factors to calculate the LCM of 85920 and 85940.

LCM(85920,85940) = 2⁵ × 3¹ × 5¹ × 179¹ × 4297¹
LCM(85920,85940) = 369198240