What is the Least Common Multiple of 89275 and 89290?

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 89275 and 89290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89275 and 89290, than apply into the LCM equation.

GCF(89275,89290) = 5
LCM(89275,89290) = ( 89275 × 89290) / 5
LCM(89275,89290) = 7971364750 / 5
LCM(89275,89290) = 1594272950

Least Common Multiple (LCM) of 89275 and 89290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89275 and 89290. First we will calculate the prime factors of 89275 and 89290.

Prime Factorization of 89275

Prime Factorization of 89290

Now multiplying the highest exponent prime factors to calculate the LCM of 89275 and 89290.

LCM(89275,89290) = 5² × 3571¹ × 2¹ × 8929¹
LCM(89275,89290) = 1594272950