What is the Least Common Multiple of 84975 and 84990?

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 84975 and 84990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84975 and 84990, than apply into the LCM equation.

GCF(84975,84990) = 15
LCM(84975,84990) = ( 84975 × 84990) / 15
LCM(84975,84990) = 7222025250 / 15
LCM(84975,84990) = 481468350

Least Common Multiple (LCM) of 84975 and 84990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84975 and 84990. First we will calculate the prime factors of 84975 and 84990.

Prime Factorization of 84975

Prime Factorization of 84990

Now multiplying the highest exponent prime factors to calculate the LCM of 84975 and 84990.

LCM(84975,84990) = 3¹ × 5² × 11¹ × 103¹ × 2¹ × 2833¹
LCM(84975,84990) = 481468350