What is the Least Common Multiple of 8984 and 9004?

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 8984 and 9004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8984 and 9004, than apply into the LCM equation.

GCF(8984,9004) = 4
LCM(8984,9004) = ( 8984 × 9004) / 4
LCM(8984,9004) = 80891936 / 4
LCM(8984,9004) = 20222984

Least Common Multiple (LCM) of 8984 and 9004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8984 and 9004. First we will calculate the prime factors of 8984 and 9004.

Prime Factorization of 8984

Prime Factorization of 9004

Now multiplying the highest exponent prime factors to calculate the LCM of 8984 and 9004.

LCM(8984,9004) = 2³ × 1123¹ × 2251¹
LCM(8984,9004) = 20222984