What is the Least Common Multiple of 8985 and 9001?

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 8985 and 9001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8985 and 9001, than apply into the LCM equation.

GCF(8985,9001) = 1
LCM(8985,9001) = ( 8985 × 9001) / 1
LCM(8985,9001) = 80873985 / 1
LCM(8985,9001) = 80873985

Least Common Multiple (LCM) of 8985 and 9001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8985 and 9001. First we will calculate the prime factors of 8985 and 9001.

Prime Factorization of 8985

Prime Factorization of 9001

Now multiplying the highest exponent prime factors to calculate the LCM of 8985 and 9001.

LCM(8985,9001) = 3¹ × 5¹ × 599¹ × 9001¹
LCM(8985,9001) = 80873985