What is the Least Common Multiple of 15330 and 15348?

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 15348 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 15348, than apply into the LCM equation.

GCF(15330,15348) = 6
LCM(15330,15348) = ( 15330 × 15348) / 6
LCM(15330,15348) = 235284840 / 6
LCM(15330,15348) = 39214140

Least Common Multiple (LCM) of 15330 and 15348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15330 and 15348. First we will calculate the prime factors of 15330 and 15348.

Prime Factorization of 15330

Prime Factorization of 15348

Now multiplying the highest exponent prime factors to calculate the LCM of 15330 and 15348.

LCM(15330,15348) = 2² × 3¹ × 5¹ × 7¹ × 73¹ × 1279¹
LCM(15330,15348) = 39214140