What is the Least Common Multiple of 95019 and 95031?

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 95019 and 95031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95019 and 95031, than apply into the LCM equation.

GCF(95019,95031) = 3
LCM(95019,95031) = ( 95019 × 95031) / 3
LCM(95019,95031) = 9029750589 / 3
LCM(95019,95031) = 3009916863

Least Common Multiple (LCM) of 95019 and 95031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95019 and 95031. First we will calculate the prime factors of 95019 and 95031.

Prime Factorization of 95019

Prime Factorization of 95031

Now multiplying the highest exponent prime factors to calculate the LCM of 95019 and 95031.

LCM(95019,95031) = 3² × 19¹ × 1667¹ × 10559¹
LCM(95019,95031) = 3009916863