What is the Least Common Multiple of 38012 and 38025?

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 38012 and 38025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38012 and 38025, than apply into the LCM equation.

GCF(38012,38025) = 13
LCM(38012,38025) = ( 38012 × 38025) / 13
LCM(38012,38025) = 1445406300 / 13
LCM(38012,38025) = 111185100

Least Common Multiple (LCM) of 38012 and 38025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38012 and 38025. First we will calculate the prime factors of 38012 and 38025.

Prime Factorization of 38012

Prime Factorization of 38025

Now multiplying the highest exponent prime factors to calculate the LCM of 38012 and 38025.

LCM(38012,38025) = 2² × 13² × 17¹ × 43¹ × 3² × 5²
LCM(38012,38025) = 111185100