What is the Least Common Multiple of 41258 and 41272?

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 41258 and 41272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41258 and 41272, than apply into the LCM equation.

GCF(41258,41272) = 14
LCM(41258,41272) = ( 41258 × 41272) / 14
LCM(41258,41272) = 1702800176 / 14
LCM(41258,41272) = 121628584

Least Common Multiple (LCM) of 41258 and 41272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41258 and 41272. First we will calculate the prime factors of 41258 and 41272.

Prime Factorization of 41258

Prime Factorization of 41272

Now multiplying the highest exponent prime factors to calculate the LCM of 41258 and 41272.

LCM(41258,41272) = 2³ × 7² × 421¹ × 11¹ × 67¹
LCM(41258,41272) = 121628584