What is the Least Common Multiple of 15007 and 15019?

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 15007 and 15019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15007 and 15019, than apply into the LCM equation.

GCF(15007,15019) = 1
LCM(15007,15019) = ( 15007 × 15019) / 1
LCM(15007,15019) = 225390133 / 1
LCM(15007,15019) = 225390133

Least Common Multiple (LCM) of 15007 and 15019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15007 and 15019. First we will calculate the prime factors of 15007 and 15019.

Prime Factorization of 15007

Prime Factorization of 15019

Now multiplying the highest exponent prime factors to calculate the LCM of 15007 and 15019.

LCM(15007,15019) = 43¹ × 349¹ × 23¹ × 653¹
LCM(15007,15019) = 225390133