What is the Least Common Multiple of 11238 and 11257?

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 11238 and 11257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11238 and 11257, than apply into the LCM equation.

GCF(11238,11257) = 1
LCM(11238,11257) = ( 11238 × 11257) / 1
LCM(11238,11257) = 126506166 / 1
LCM(11238,11257) = 126506166

Least Common Multiple (LCM) of 11238 and 11257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11238 and 11257. First we will calculate the prime factors of 11238 and 11257.

Prime Factorization of 11238

Prime Factorization of 11257

Now multiplying the highest exponent prime factors to calculate the LCM of 11238 and 11257.

LCM(11238,11257) = 2¹ × 3¹ × 1873¹ × 11257¹
LCM(11238,11257) = 126506166