What is the Least Common Multiple of 21222 and 21238?

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 21222 and 21238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21222 and 21238, than apply into the LCM equation.

GCF(21222,21238) = 2
LCM(21222,21238) = ( 21222 × 21238) / 2
LCM(21222,21238) = 450712836 / 2
LCM(21222,21238) = 225356418

Least Common Multiple (LCM) of 21222 and 21238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21222 and 21238. First we will calculate the prime factors of 21222 and 21238.

Prime Factorization of 21222

Prime Factorization of 21238

Now multiplying the highest exponent prime factors to calculate the LCM of 21222 and 21238.

LCM(21222,21238) = 2¹ × 3⁴ × 131¹ × 7¹ × 37¹ × 41¹
LCM(21222,21238) = 225356418