What is the Least Common Multiple of 95000 and 95019?

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 95000 and 95019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95000 and 95019, than apply into the LCM equation.

GCF(95000,95019) = 19
LCM(95000,95019) = ( 95000 × 95019) / 19
LCM(95000,95019) = 9026805000 / 19
LCM(95000,95019) = 475095000

Least Common Multiple (LCM) of 95000 and 95019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95000 and 95019. First we will calculate the prime factors of 95000 and 95019.

Prime Factorization of 95000

Prime Factorization of 95019

Now multiplying the highest exponent prime factors to calculate the LCM of 95000 and 95019.

LCM(95000,95019) = 2³ × 5⁴ × 19¹ × 3¹ × 1667¹
LCM(95000,95019) = 475095000