What is the Least Common Multiple of 84717 and 84735?

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 84717 and 84735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84717 and 84735, than apply into the LCM equation.

GCF(84717,84735) = 9
LCM(84717,84735) = ( 84717 × 84735) / 9
LCM(84717,84735) = 7178494995 / 9
LCM(84717,84735) = 797610555

Least Common Multiple (LCM) of 84717 and 84735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84717 and 84735. First we will calculate the prime factors of 84717 and 84735.

Prime Factorization of 84717

Prime Factorization of 84735

Now multiplying the highest exponent prime factors to calculate the LCM of 84717 and 84735.

LCM(84717,84735) = 3² × 9413¹ × 5¹ × 7¹ × 269¹
LCM(84717,84735) = 797610555