What is the Least Common Multiple of 85918 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 85918 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 85918 and 85929, than apply into the LCM equation.

GCF(85918,85929) = 1
LCM(85918,85929) = ( 85918 × 85929) / 1
LCM(85918,85929) = 7382847822 / 1
LCM(85918,85929) = 7382847822

Least Common Multiple (LCM) of 85918 and 85929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85918 and 85929. First we will calculate the prime factors of 85918 and 85929.

Prime Factorization of 85918

Prime Factorization of 85929

Now multiplying the highest exponent prime factors to calculate the LCM of 85918 and 85929.

LCM(85918,85929) = 2¹ × 7¹ × 17¹ × 19² × 3¹ × 28643¹
LCM(85918,85929) = 7382847822