What is the Least Common Multiple of 15228 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 15228 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 15228 and 15248, than apply into the LCM equation.

GCF(15228,15248) = 4
LCM(15228,15248) = ( 15228 × 15248) / 4
LCM(15228,15248) = 232196544 / 4
LCM(15228,15248) = 58049136

Least Common Multiple (LCM) of 15228 and 15248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15228 and 15248. First we will calculate the prime factors of 15228 and 15248.

Prime Factorization of 15228

Prime Factorization of 15248

Now multiplying the highest exponent prime factors to calculate the LCM of 15228 and 15248.

LCM(15228,15248) = 2⁴ × 3⁴ × 47¹ × 953¹
LCM(15228,15248) = 58049136