What is the Least Common Multiple of 89984 and 89989?

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 89984 and 89989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89984 and 89989, than apply into the LCM equation.

GCF(89984,89989) = 1
LCM(89984,89989) = ( 89984 × 89989) / 1
LCM(89984,89989) = 8097570176 / 1
LCM(89984,89989) = 8097570176

Least Common Multiple (LCM) of 89984 and 89989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89984 and 89989. First we will calculate the prime factors of 89984 and 89989.

Prime Factorization of 89984

Prime Factorization of 89989

Now multiplying the highest exponent prime factors to calculate the LCM of 89984 and 89989.

LCM(89984,89989) = 2⁷ × 19¹ × 37¹ × 89989¹
LCM(89984,89989) = 8097570176