What is the Least Common Multiple of 92019 and 92025?

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 92019 and 92025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92019 and 92025, than apply into the LCM equation.

GCF(92019,92025) = 3
LCM(92019,92025) = ( 92019 × 92025) / 3
LCM(92019,92025) = 8468048475 / 3
LCM(92019,92025) = 2822682825

Least Common Multiple (LCM) of 92019 and 92025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92019 and 92025. First we will calculate the prime factors of 92019 and 92025.

Prime Factorization of 92019

Prime Factorization of 92025

Now multiplying the highest exponent prime factors to calculate the LCM of 92019 and 92025.

LCM(92019,92025) = 3² × 37¹ × 829¹ × 5² × 409¹
LCM(92019,92025) = 2822682825