What is the Least Common Multiple of 15342 and 15352?

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 15352 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 15352, than apply into the LCM equation.

GCF(15342,15352) = 2
LCM(15342,15352) = ( 15342 × 15352) / 2
LCM(15342,15352) = 235530384 / 2
LCM(15342,15352) = 117765192

Least Common Multiple (LCM) of 15342 and 15352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15342 and 15352. First we will calculate the prime factors of 15342 and 15352.

Prime Factorization of 15342

Prime Factorization of 15352

Now multiplying the highest exponent prime factors to calculate the LCM of 15342 and 15352.

LCM(15342,15352) = 2³ × 3¹ × 2557¹ × 19¹ × 101¹
LCM(15342,15352) = 117765192