What is the Least Common Multiple of 62226 and 62238?

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 62226 and 62238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62226 and 62238, than apply into the LCM equation.

GCF(62226,62238) = 6
LCM(62226,62238) = ( 62226 × 62238) / 6
LCM(62226,62238) = 3872821788 / 6
LCM(62226,62238) = 645470298

Least Common Multiple (LCM) of 62226 and 62238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62226 and 62238. First we will calculate the prime factors of 62226 and 62238.

Prime Factorization of 62226

Prime Factorization of 62238

Now multiplying the highest exponent prime factors to calculate the LCM of 62226 and 62238.

LCM(62226,62238) = 2¹ × 3² × 3457¹ × 11¹ × 23¹ × 41¹
LCM(62226,62238) = 645470298