What is the Least Common Multiple of 15009 and 15015?

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 15009 and 15015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15009 and 15015, than apply into the LCM equation.

GCF(15009,15015) = 3
LCM(15009,15015) = ( 15009 × 15015) / 3
LCM(15009,15015) = 225360135 / 3
LCM(15009,15015) = 75120045

Least Common Multiple (LCM) of 15009 and 15015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15009 and 15015. First we will calculate the prime factors of 15009 and 15015.

Prime Factorization of 15009

Prime Factorization of 15015

Now multiplying the highest exponent prime factors to calculate the LCM of 15009 and 15015.

LCM(15009,15015) = 3¹ × 5003¹ × 5¹ × 7¹ × 11¹ × 13¹
LCM(15009,15015) = 75120045