What is the Least Common Multiple of 15238 and 15257?

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 15257 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 15257, than apply into the LCM equation.

GCF(15238,15257) = 19
LCM(15238,15257) = ( 15238 × 15257) / 19
LCM(15238,15257) = 232486166 / 19
LCM(15238,15257) = 12236114

Least Common Multiple (LCM) of 15238 and 15257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15238 and 15257. First we will calculate the prime factors of 15238 and 15257.

Prime Factorization of 15238

Prime Factorization of 15257

Now multiplying the highest exponent prime factors to calculate the LCM of 15238 and 15257.

LCM(15238,15257) = 2¹ × 19¹ × 401¹ × 11¹ × 73¹
LCM(15238,15257) = 12236114