What is the Least Common Multiple of 84735 and 84750?

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 84735 and 84750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84735 and 84750, than apply into the LCM equation.

GCF(84735,84750) = 15
LCM(84735,84750) = ( 84735 × 84750) / 15
LCM(84735,84750) = 7181291250 / 15
LCM(84735,84750) = 478752750

Least Common Multiple (LCM) of 84735 and 84750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84735 and 84750. First we will calculate the prime factors of 84735 and 84750.

Prime Factorization of 84735

Prime Factorization of 84750

Now multiplying the highest exponent prime factors to calculate the LCM of 84735 and 84750.

LCM(84735,84750) = 3² × 5³ × 7¹ × 269¹ × 2¹ × 113¹
LCM(84735,84750) = 478752750