What is the Least Common Multiple of 15304 and 15315?

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 15304 and 15315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15304 and 15315, than apply into the LCM equation.

GCF(15304,15315) = 1
LCM(15304,15315) = ( 15304 × 15315) / 1
LCM(15304,15315) = 234380760 / 1
LCM(15304,15315) = 234380760

Least Common Multiple (LCM) of 15304 and 15315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15304 and 15315. First we will calculate the prime factors of 15304 and 15315.

Prime Factorization of 15304

Prime Factorization of 15315

Now multiplying the highest exponent prime factors to calculate the LCM of 15304 and 15315.

LCM(15304,15315) = 2³ × 1913¹ × 3¹ × 5¹ × 1021¹
LCM(15304,15315) = 234380760