What is the Least Common Multiple of 15238 and 15248?

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 15238 and 15248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15238 and 15248, than apply into the LCM equation.

GCF(15238,15248) = 2
LCM(15238,15248) = ( 15238 × 15248) / 2
LCM(15238,15248) = 232349024 / 2
LCM(15238,15248) = 116174512

Least Common Multiple (LCM) of 15238 and 15248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15238 and 15248. First we will calculate the prime factors of 15238 and 15248.

Prime Factorization of 15238

Prime Factorization of 15248

Now multiplying the highest exponent prime factors to calculate the LCM of 15238 and 15248.

LCM(15238,15248) = 2⁴ × 19¹ × 401¹ × 953¹
LCM(15238,15248) = 116174512