What is the Least Common Multiple of 15326 and 15339?

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 15326 and 15339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15326 and 15339, than apply into the LCM equation.

GCF(15326,15339) = 1
LCM(15326,15339) = ( 15326 × 15339) / 1
LCM(15326,15339) = 235085514 / 1
LCM(15326,15339) = 235085514

Least Common Multiple (LCM) of 15326 and 15339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15326 and 15339. First we will calculate the prime factors of 15326 and 15339.

Prime Factorization of 15326

Prime Factorization of 15339

Now multiplying the highest exponent prime factors to calculate the LCM of 15326 and 15339.

LCM(15326,15339) = 2¹ × 79¹ × 97¹ × 3¹ × 5113¹
LCM(15326,15339) = 235085514