What is the Least Common Multiple of 89001 and 89019?

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 89001 and 89019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89001 and 89019, than apply into the LCM equation.

GCF(89001,89019) = 9
LCM(89001,89019) = ( 89001 × 89019) / 9
LCM(89001,89019) = 7922780019 / 9
LCM(89001,89019) = 880308891

Least Common Multiple (LCM) of 89001 and 89019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89001 and 89019. First we will calculate the prime factors of 89001 and 89019.

Prime Factorization of 89001

Prime Factorization of 89019

Now multiplying the highest exponent prime factors to calculate the LCM of 89001 and 89019.

LCM(89001,89019) = 3⁴ × 11¹ × 29¹ × 31¹ × 7¹ × 157¹
LCM(89001,89019) = 880308891