What is the Least Common Multiple of 15309 and 15320?

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 15309 and 15320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15309 and 15320, than apply into the LCM equation.

GCF(15309,15320) = 1
LCM(15309,15320) = ( 15309 × 15320) / 1
LCM(15309,15320) = 234533880 / 1
LCM(15309,15320) = 234533880

Least Common Multiple (LCM) of 15309 and 15320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15309 and 15320. First we will calculate the prime factors of 15309 and 15320.

Prime Factorization of 15309

Prime Factorization of 15320

Now multiplying the highest exponent prime factors to calculate the LCM of 15309 and 15320.

LCM(15309,15320) = 3⁷ × 7¹ × 2³ × 5¹ × 383¹
LCM(15309,15320) = 234533880