What is the Least Common Multiple of 89004 and 89020?

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 89004 and 89020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89004 and 89020, than apply into the LCM equation.

GCF(89004,89020) = 4
LCM(89004,89020) = ( 89004 × 89020) / 4
LCM(89004,89020) = 7923136080 / 4
LCM(89004,89020) = 1980784020

Least Common Multiple (LCM) of 89004 and 89020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89004 and 89020. First we will calculate the prime factors of 89004 and 89020.

Prime Factorization of 89004

Prime Factorization of 89020

Now multiplying the highest exponent prime factors to calculate the LCM of 89004 and 89020.

LCM(89004,89020) = 2² × 3¹ × 7417¹ × 5¹ × 4451¹
LCM(89004,89020) = 1980784020