What is the Least Common Multiple of 15356 and 15373?

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 15356 and 15373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15356 and 15373, than apply into the LCM equation.

GCF(15356,15373) = 1
LCM(15356,15373) = ( 15356 × 15373) / 1
LCM(15356,15373) = 236067788 / 1
LCM(15356,15373) = 236067788

Least Common Multiple (LCM) of 15356 and 15373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15356 and 15373. First we will calculate the prime factors of 15356 and 15373.

Prime Factorization of 15356

Prime Factorization of 15373

Now multiplying the highest exponent prime factors to calculate the LCM of 15356 and 15373.

LCM(15356,15373) = 2² × 11¹ × 349¹ × 15373¹
LCM(15356,15373) = 236067788