What is the Least Common Multiple of 15344 and 15358?

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 15358 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 15358, than apply into the LCM equation.

GCF(15344,15358) = 14
LCM(15344,15358) = ( 15344 × 15358) / 14
LCM(15344,15358) = 235653152 / 14
LCM(15344,15358) = 16832368

Least Common Multiple (LCM) of 15344 and 15358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15344 and 15358. First we will calculate the prime factors of 15344 and 15358.

Prime Factorization of 15344

Prime Factorization of 15358

Now multiplying the highest exponent prime factors to calculate the LCM of 15344 and 15358.

LCM(15344,15358) = 2⁴ × 7¹ × 137¹ × 1097¹
LCM(15344,15358) = 16832368