What is the Least Common Multiple of 15330 and 15336?

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 15330 and 15336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15330 and 15336, than apply into the LCM equation.

GCF(15330,15336) = 6
LCM(15330,15336) = ( 15330 × 15336) / 6
LCM(15330,15336) = 235100880 / 6
LCM(15330,15336) = 39183480

Least Common Multiple (LCM) of 15330 and 15336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15330 and 15336. First we will calculate the prime factors of 15330 and 15336.

Prime Factorization of 15330

Prime Factorization of 15336

Now multiplying the highest exponent prime factors to calculate the LCM of 15330 and 15336.

LCM(15330,15336) = 2³ × 3³ × 5¹ × 7¹ × 73¹ × 71¹
LCM(15330,15336) = 39183480