What is the Least Common Multiple of 85192 and 85200?

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 85192 and 85200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85192 and 85200, than apply into the LCM equation.

GCF(85192,85200) = 8
LCM(85192,85200) = ( 85192 × 85200) / 8
LCM(85192,85200) = 7258358400 / 8
LCM(85192,85200) = 907294800

Least Common Multiple (LCM) of 85192 and 85200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85192 and 85200. First we will calculate the prime factors of 85192 and 85200.

Prime Factorization of 85192

Prime Factorization of 85200

Now multiplying the highest exponent prime factors to calculate the LCM of 85192 and 85200.

LCM(85192,85200) = 2⁴ × 23¹ × 463¹ × 3¹ × 5² × 71¹
LCM(85192,85200) = 907294800