What is the Least Common Multiple of 89080 and 89084?

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 89080 and 89084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89080 and 89084, than apply into the LCM equation.

GCF(89080,89084) = 4
LCM(89080,89084) = ( 89080 × 89084) / 4
LCM(89080,89084) = 7935602720 / 4
LCM(89080,89084) = 1983900680

Least Common Multiple (LCM) of 89080 and 89084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89080 and 89084. First we will calculate the prime factors of 89080 and 89084.

Prime Factorization of 89080

Prime Factorization of 89084

Now multiplying the highest exponent prime factors to calculate the LCM of 89080 and 89084.

LCM(89080,89084) = 2³ × 5¹ × 17¹ × 131¹ × 22271¹
LCM(89080,89084) = 1983900680