What is the Least Common Multiple of 84666 and 84675?

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 84666 and 84675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84666 and 84675, than apply into the LCM equation.

GCF(84666,84675) = 3
LCM(84666,84675) = ( 84666 × 84675) / 3
LCM(84666,84675) = 7169093550 / 3
LCM(84666,84675) = 2389697850

Least Common Multiple (LCM) of 84666 and 84675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84666 and 84675. First we will calculate the prime factors of 84666 and 84675.

Prime Factorization of 84666

Prime Factorization of 84675

Now multiplying the highest exponent prime factors to calculate the LCM of 84666 and 84675.

LCM(84666,84675) = 2¹ × 3¹ × 103¹ × 137¹ × 5² × 1129¹
LCM(84666,84675) = 2389697850