What is the Least Common Multiple of 89184 and 89198?

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 89184 and 89198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89184 and 89198, than apply into the LCM equation.

GCF(89184,89198) = 2
LCM(89184,89198) = ( 89184 × 89198) / 2
LCM(89184,89198) = 7955034432 / 2
LCM(89184,89198) = 3977517216

Least Common Multiple (LCM) of 89184 and 89198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89184 and 89198. First we will calculate the prime factors of 89184 and 89198.

Prime Factorization of 89184

Prime Factorization of 89198

Now multiplying the highest exponent prime factors to calculate the LCM of 89184 and 89198.

LCM(89184,89198) = 2⁵ × 3¹ × 929¹ × 103¹ × 433¹
LCM(89184,89198) = 3977517216