What is the Least Common Multiple of 15228 and 15238?

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 15238 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 15238, than apply into the LCM equation.

GCF(15228,15238) = 2
LCM(15228,15238) = ( 15228 × 15238) / 2
LCM(15228,15238) = 232044264 / 2
LCM(15228,15238) = 116022132

Least Common Multiple (LCM) of 15228 and 15238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15228 and 15238. First we will calculate the prime factors of 15228 and 15238.

Prime Factorization of 15228

Prime Factorization of 15238

Now multiplying the highest exponent prime factors to calculate the LCM of 15228 and 15238.

LCM(15228,15238) = 2² × 3⁴ × 47¹ × 19¹ × 401¹
LCM(15228,15238) = 116022132