What is the Least Common Multiple of 15294 and 15309?

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 15294 and 15309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15294 and 15309, than apply into the LCM equation.

GCF(15294,15309) = 3
LCM(15294,15309) = ( 15294 × 15309) / 3
LCM(15294,15309) = 234135846 / 3
LCM(15294,15309) = 78045282

Least Common Multiple (LCM) of 15294 and 15309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15294 and 15309. First we will calculate the prime factors of 15294 and 15309.

Prime Factorization of 15294

Prime Factorization of 15309

Now multiplying the highest exponent prime factors to calculate the LCM of 15294 and 15309.

LCM(15294,15309) = 2¹ × 3⁷ × 2549¹ × 7¹
LCM(15294,15309) = 78045282