What is the Least Common Multiple of 84095 and 84113?

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 84095 and 84113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84095 and 84113, than apply into the LCM equation.

GCF(84095,84113) = 1
LCM(84095,84113) = ( 84095 × 84113) / 1
LCM(84095,84113) = 7073482735 / 1
LCM(84095,84113) = 7073482735

Least Common Multiple (LCM) of 84095 and 84113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84095 and 84113. First we will calculate the prime factors of 84095 and 84113.

Prime Factorization of 84095

Prime Factorization of 84113

Now multiplying the highest exponent prime factors to calculate the LCM of 84095 and 84113.

LCM(84095,84113) = 5¹ × 11² × 139¹ × 19² × 233¹
LCM(84095,84113) = 7073482735