What is the Least Common Multiple of 15009 and 15026?

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 15026 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 15026, than apply into the LCM equation.

GCF(15009,15026) = 1
LCM(15009,15026) = ( 15009 × 15026) / 1
LCM(15009,15026) = 225525234 / 1
LCM(15009,15026) = 225525234

Least Common Multiple (LCM) of 15009 and 15026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15009 and 15026. First we will calculate the prime factors of 15009 and 15026.

Prime Factorization of 15009

Prime Factorization of 15026

Now multiplying the highest exponent prime factors to calculate the LCM of 15009 and 15026.

LCM(15009,15026) = 3¹ × 5003¹ × 2¹ × 11¹ × 683¹
LCM(15009,15026) = 225525234