What is the Least Common Multiple of 89125 and 89144?

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 89125 and 89144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89125 and 89144, than apply into the LCM equation.

GCF(89125,89144) = 1
LCM(89125,89144) = ( 89125 × 89144) / 1
LCM(89125,89144) = 7944959000 / 1
LCM(89125,89144) = 7944959000

Least Common Multiple (LCM) of 89125 and 89144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89125 and 89144. First we will calculate the prime factors of 89125 and 89144.

Prime Factorization of 89125

Prime Factorization of 89144

Now multiplying the highest exponent prime factors to calculate the LCM of 89125 and 89144.

LCM(89125,89144) = 5³ × 23¹ × 31¹ × 2³ × 11¹ × 1013¹
LCM(89125,89144) = 7944959000