What is the Least Common Multiple of 15300 and 15306?

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 15300 and 15306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15300 and 15306, than apply into the LCM equation.

GCF(15300,15306) = 6
LCM(15300,15306) = ( 15300 × 15306) / 6
LCM(15300,15306) = 234181800 / 6
LCM(15300,15306) = 39030300

Least Common Multiple (LCM) of 15300 and 15306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15300 and 15306. First we will calculate the prime factors of 15300 and 15306.

Prime Factorization of 15300

Prime Factorization of 15306

Now multiplying the highest exponent prime factors to calculate the LCM of 15300 and 15306.

LCM(15300,15306) = 2² × 3² × 5² × 17¹ × 2551¹
LCM(15300,15306) = 39030300