What is the Least Common Multiple of 15240 and 15254?

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 15240 and 15254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15240 and 15254, than apply into the LCM equation.

GCF(15240,15254) = 2
LCM(15240,15254) = ( 15240 × 15254) / 2
LCM(15240,15254) = 232470960 / 2
LCM(15240,15254) = 116235480

Least Common Multiple (LCM) of 15240 and 15254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15254. First we will calculate the prime factors of 15240 and 15254.

Prime Factorization of 15240

Prime Factorization of 15254

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15254.

LCM(15240,15254) = 2³ × 3¹ × 5¹ × 127¹ × 29¹ × 263¹
LCM(15240,15254) = 116235480