What is the Least Common Multiple of 89050 and 89055?

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 89050 and 89055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89050 and 89055, than apply into the LCM equation.

GCF(89050,89055) = 5
LCM(89050,89055) = ( 89050 × 89055) / 5
LCM(89050,89055) = 7930347750 / 5
LCM(89050,89055) = 1586069550

Least Common Multiple (LCM) of 89050 and 89055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89050 and 89055. First we will calculate the prime factors of 89050 and 89055.

Prime Factorization of 89050

Prime Factorization of 89055

Now multiplying the highest exponent prime factors to calculate the LCM of 89050 and 89055.

LCM(89050,89055) = 2¹ × 5² × 13¹ × 137¹ × 3² × 1979¹
LCM(89050,89055) = 1586069550