What is the Least Common Multiple of 85872 and 85888?

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 85872 and 85888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85872 and 85888, than apply into the LCM equation.

GCF(85872,85888) = 16
LCM(85872,85888) = ( 85872 × 85888) / 16
LCM(85872,85888) = 7375374336 / 16
LCM(85872,85888) = 460960896

Least Common Multiple (LCM) of 85872 and 85888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85872 and 85888. First we will calculate the prime factors of 85872 and 85888.

Prime Factorization of 85872

Prime Factorization of 85888

Now multiplying the highest exponent prime factors to calculate the LCM of 85872 and 85888.

LCM(85872,85888) = 2⁷ × 3¹ × 1789¹ × 11¹ × 61¹
LCM(85872,85888) = 460960896