What is the Least Common Multiple of 85912 and 85929?

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 85912 and 85929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85912 and 85929, than apply into the LCM equation.

GCF(85912,85929) = 1
LCM(85912,85929) = ( 85912 × 85929) / 1
LCM(85912,85929) = 7382332248 / 1
LCM(85912,85929) = 7382332248

Least Common Multiple (LCM) of 85912 and 85929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85912 and 85929. First we will calculate the prime factors of 85912 and 85929.

Prime Factorization of 85912

Prime Factorization of 85929

Now multiplying the highest exponent prime factors to calculate the LCM of 85912 and 85929.

LCM(85912,85929) = 2³ × 10739¹ × 3¹ × 28643¹
LCM(85912,85929) = 7382332248