What is the Least Common Multiple of 15342 and 15351?

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 15342 and 15351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15342 and 15351, than apply into the LCM equation.

GCF(15342,15351) = 3
LCM(15342,15351) = ( 15342 × 15351) / 3
LCM(15342,15351) = 235515042 / 3
LCM(15342,15351) = 78505014

Least Common Multiple (LCM) of 15342 and 15351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15342 and 15351. First we will calculate the prime factors of 15342 and 15351.

Prime Factorization of 15342

Prime Factorization of 15351

Now multiplying the highest exponent prime factors to calculate the LCM of 15342 and 15351.

LCM(15342,15351) = 2¹ × 3¹ × 2557¹ × 7¹ × 17¹ × 43¹
LCM(15342,15351) = 78505014