What is the Least Common Multiple of 89019 and 89031?

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 89019 and 89031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89019 and 89031, than apply into the LCM equation.

GCF(89019,89031) = 3
LCM(89019,89031) = ( 89019 × 89031) / 3
LCM(89019,89031) = 7925450589 / 3
LCM(89019,89031) = 2641816863

Least Common Multiple (LCM) of 89019 and 89031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89019 and 89031. First we will calculate the prime factors of 89019 and 89031.

Prime Factorization of 89019

Prime Factorization of 89031

Now multiplying the highest exponent prime factors to calculate the LCM of 89019 and 89031.

LCM(89019,89031) = 3⁴ × 7¹ × 157¹ × 59¹ × 503¹
LCM(89019,89031) = 2641816863