What is the Least Common Multiple of 15392 and 15409?

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 15392 and 15409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15392 and 15409, than apply into the LCM equation.

GCF(15392,15409) = 1
LCM(15392,15409) = ( 15392 × 15409) / 1
LCM(15392,15409) = 237175328 / 1
LCM(15392,15409) = 237175328

Least Common Multiple (LCM) of 15392 and 15409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15392 and 15409. First we will calculate the prime factors of 15392 and 15409.

Prime Factorization of 15392

Prime Factorization of 15409

Now multiplying the highest exponent prime factors to calculate the LCM of 15392 and 15409.

LCM(15392,15409) = 2⁵ × 13¹ × 37¹ × 19¹ × 811¹
LCM(15392,15409) = 237175328