What is the Least Common Multiple of 94995 and 95000?

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 94995 and 95000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94995 and 95000, than apply into the LCM equation.

GCF(94995,95000) = 5
LCM(94995,95000) = ( 94995 × 95000) / 5
LCM(94995,95000) = 9024525000 / 5
LCM(94995,95000) = 1804905000

Least Common Multiple (LCM) of 94995 and 95000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94995 and 95000. First we will calculate the prime factors of 94995 and 95000.

Prime Factorization of 94995

Prime Factorization of 95000

Now multiplying the highest exponent prime factors to calculate the LCM of 94995 and 95000.

LCM(94995,95000) = 3² × 5⁴ × 2111¹ × 2³ × 19¹
LCM(94995,95000) = 1804905000