What is the Least Common Multiple of 89196 and 89200?

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 89196 and 89200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89196 and 89200, than apply into the LCM equation.

GCF(89196,89200) = 4
LCM(89196,89200) = ( 89196 × 89200) / 4
LCM(89196,89200) = 7956283200 / 4
LCM(89196,89200) = 1989070800

Least Common Multiple (LCM) of 89196 and 89200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89196 and 89200. First we will calculate the prime factors of 89196 and 89200.

Prime Factorization of 89196

Prime Factorization of 89200

Now multiplying the highest exponent prime factors to calculate the LCM of 89196 and 89200.

LCM(89196,89200) = 2⁴ × 3¹ × 7433¹ × 5² × 223¹
LCM(89196,89200) = 1989070800