What is the Least Common Multiple of 15238 and 15253?

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 15253 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 15253, than apply into the LCM equation.

GCF(15238,15253) = 1
LCM(15238,15253) = ( 15238 × 15253) / 1
LCM(15238,15253) = 232425214 / 1
LCM(15238,15253) = 232425214

Least Common Multiple (LCM) of 15238 and 15253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15238 and 15253. First we will calculate the prime factors of 15238 and 15253.

Prime Factorization of 15238

Prime Factorization of 15253

Now multiplying the highest exponent prime factors to calculate the LCM of 15238 and 15253.

LCM(15238,15253) = 2¹ × 19¹ × 401¹ × 7¹ × 2179¹
LCM(15238,15253) = 232425214