What is the Least Common Multiple of 21238 and 21254?

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 21254 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 21254, than apply into the LCM equation.

GCF(21238,21254) = 2
LCM(21238,21254) = ( 21238 × 21254) / 2
LCM(21238,21254) = 451392452 / 2
LCM(21238,21254) = 225696226

Least Common Multiple (LCM) of 21238 and 21254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21238 and 21254. First we will calculate the prime factors of 21238 and 21254.

Prime Factorization of 21238

Prime Factorization of 21254

Now multiplying the highest exponent prime factors to calculate the LCM of 21238 and 21254.

LCM(21238,21254) = 2¹ × 7¹ × 37¹ × 41¹ × 10627¹
LCM(21238,21254) = 225696226