What is the Least Common Multiple of 41229 and 41238?

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 41229 and 41238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41229 and 41238, than apply into the LCM equation.

GCF(41229,41238) = 9
LCM(41229,41238) = ( 41229 × 41238) / 9
LCM(41229,41238) = 1700201502 / 9
LCM(41229,41238) = 188911278

Least Common Multiple (LCM) of 41229 and 41238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41229 and 41238. First we will calculate the prime factors of 41229 and 41238.

Prime Factorization of 41229

Prime Factorization of 41238

Now multiplying the highest exponent prime factors to calculate the LCM of 41229 and 41238.

LCM(41229,41238) = 3⁴ × 509¹ × 2¹ × 29¹ × 79¹
LCM(41229,41238) = 188911278