What is the Least Common Multiple of 15410 and 15415?

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 15410 and 15415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15410 and 15415, than apply into the LCM equation.

GCF(15410,15415) = 5
LCM(15410,15415) = ( 15410 × 15415) / 5
LCM(15410,15415) = 237545150 / 5
LCM(15410,15415) = 47509030

Least Common Multiple (LCM) of 15410 and 15415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15410 and 15415. First we will calculate the prime factors of 15410 and 15415.

Prime Factorization of 15410

Prime Factorization of 15415

Now multiplying the highest exponent prime factors to calculate the LCM of 15410 and 15415.

LCM(15410,15415) = 2¹ × 5¹ × 23¹ × 67¹ × 3083¹
LCM(15410,15415) = 47509030