What is the Least Common Multiple of 15344 and 15356?

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 15344 and 15356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15344 and 15356, than apply into the LCM equation.

GCF(15344,15356) = 4
LCM(15344,15356) = ( 15344 × 15356) / 4
LCM(15344,15356) = 235622464 / 4
LCM(15344,15356) = 58905616

Least Common Multiple (LCM) of 15344 and 15356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15344 and 15356. First we will calculate the prime factors of 15344 and 15356.

Prime Factorization of 15344

Prime Factorization of 15356

Now multiplying the highest exponent prime factors to calculate the LCM of 15344 and 15356.

LCM(15344,15356) = 2⁴ × 7¹ × 137¹ × 11¹ × 349¹
LCM(15344,15356) = 58905616