What is the Least Common Multiple of 21238 and 21256?

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 21256 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 21256, than apply into the LCM equation.

GCF(21238,21256) = 2
LCM(21238,21256) = ( 21238 × 21256) / 2
LCM(21238,21256) = 451434928 / 2
LCM(21238,21256) = 225717464

Least Common Multiple (LCM) of 21238 and 21256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21238 and 21256. First we will calculate the prime factors of 21238 and 21256.

Prime Factorization of 21238

Prime Factorization of 21256

Now multiplying the highest exponent prime factors to calculate the LCM of 21238 and 21256.

LCM(21238,21256) = 2³ × 7¹ × 37¹ × 41¹ × 2657¹
LCM(21238,21256) = 225717464