What is the Least Common Multiple of 15340 and 15344?

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 15340 and 15344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15340 and 15344, than apply into the LCM equation.

GCF(15340,15344) = 4
LCM(15340,15344) = ( 15340 × 15344) / 4
LCM(15340,15344) = 235376960 / 4
LCM(15340,15344) = 58844240

Least Common Multiple (LCM) of 15340 and 15344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15340 and 15344. First we will calculate the prime factors of 15340 and 15344.

Prime Factorization of 15340

Prime Factorization of 15344

Now multiplying the highest exponent prime factors to calculate the LCM of 15340 and 15344.

LCM(15340,15344) = 2⁴ × 5¹ × 13¹ × 59¹ × 7¹ × 137¹
LCM(15340,15344) = 58844240