What is the Least Common Multiple of 89145 and 89150?

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 89145 and 89150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89145 and 89150, than apply into the LCM equation.

GCF(89145,89150) = 5
LCM(89145,89150) = ( 89145 × 89150) / 5
LCM(89145,89150) = 7947276750 / 5
LCM(89145,89150) = 1589455350

Least Common Multiple (LCM) of 89145 and 89150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89145 and 89150. First we will calculate the prime factors of 89145 and 89150.

Prime Factorization of 89145

Prime Factorization of 89150

Now multiplying the highest exponent prime factors to calculate the LCM of 89145 and 89150.

LCM(89145,89150) = 3² × 5² × 7¹ × 283¹ × 2¹ × 1783¹
LCM(89145,89150) = 1589455350