What is the Least Common Multiple of 85920 and 85924?

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 85924 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 85924, than apply into the LCM equation.

GCF(85920,85924) = 4
LCM(85920,85924) = ( 85920 × 85924) / 4
LCM(85920,85924) = 7382590080 / 4
LCM(85920,85924) = 1845647520

Least Common Multiple (LCM) of 85920 and 85924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85920 and 85924. First we will calculate the prime factors of 85920 and 85924.

Prime Factorization of 85920

Prime Factorization of 85924

Now multiplying the highest exponent prime factors to calculate the LCM of 85920 and 85924.

LCM(85920,85924) = 2⁵ × 3¹ × 5¹ × 179¹ × 21481¹
LCM(85920,85924) = 1845647520