What is the Least Common Multiple of 89146 and 89152?

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 89146 and 89152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89146 and 89152, than apply into the LCM equation.

GCF(89146,89152) = 2
LCM(89146,89152) = ( 89146 × 89152) / 2
LCM(89146,89152) = 7947544192 / 2
LCM(89146,89152) = 3973772096

Least Common Multiple (LCM) of 89146 and 89152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89146 and 89152. First we will calculate the prime factors of 89146 and 89152.

Prime Factorization of 89146

Prime Factorization of 89152

Now multiplying the highest exponent prime factors to calculate the LCM of 89146 and 89152.

LCM(89146,89152) = 2⁶ × 29² × 53¹ × 7¹ × 199¹
LCM(89146,89152) = 3973772096