What is the Least Common Multiple of 15039 and 15049?

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 15039 and 15049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15039 and 15049, than apply into the LCM equation.

GCF(15039,15049) = 1
LCM(15039,15049) = ( 15039 × 15049) / 1
LCM(15039,15049) = 226321911 / 1
LCM(15039,15049) = 226321911

Least Common Multiple (LCM) of 15039 and 15049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15039 and 15049. First we will calculate the prime factors of 15039 and 15049.

Prime Factorization of 15039

Prime Factorization of 15049

Now multiplying the highest exponent prime factors to calculate the LCM of 15039 and 15049.

LCM(15039,15049) = 3³ × 557¹ × 101¹ × 149¹
LCM(15039,15049) = 226321911