What is the Least Common Multiple of 84657 and 84663?

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 84657 and 84663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84657 and 84663, than apply into the LCM equation.

GCF(84657,84663) = 3
LCM(84657,84663) = ( 84657 × 84663) / 3
LCM(84657,84663) = 7167315591 / 3
LCM(84657,84663) = 2389105197

Least Common Multiple (LCM) of 84657 and 84663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84657 and 84663. First we will calculate the prime factors of 84657 and 84663.

Prime Factorization of 84657

Prime Factorization of 84663

Now multiplying the highest exponent prime factors to calculate the LCM of 84657 and 84663.

LCM(84657,84663) = 3² × 28219¹ × 23¹ × 409¹
LCM(84657,84663) = 2389105197