What is the Least Common Multiple of 21238 and 21257?

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 21238 and 21257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21238 and 21257, than apply into the LCM equation.

GCF(21238,21257) = 1
LCM(21238,21257) = ( 21238 × 21257) / 1
LCM(21238,21257) = 451456166 / 1
LCM(21238,21257) = 451456166

Least Common Multiple (LCM) of 21238 and 21257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21238 and 21257. First we will calculate the prime factors of 21238 and 21257.

Prime Factorization of 21238

Prime Factorization of 21257

Now multiplying the highest exponent prime factors to calculate the LCM of 21238 and 21257.

LCM(21238,21257) = 2¹ × 7¹ × 37¹ × 41¹ × 29¹ × 733¹
LCM(21238,21257) = 451456166