What is the Least Common Multiple of 41278 and 41293?

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 41278 and 41293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41278 and 41293, than apply into the LCM equation.

GCF(41278,41293) = 1
LCM(41278,41293) = ( 41278 × 41293) / 1
LCM(41278,41293) = 1704492454 / 1
LCM(41278,41293) = 1704492454

Least Common Multiple (LCM) of 41278 and 41293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41278 and 41293. First we will calculate the prime factors of 41278 and 41293.

Prime Factorization of 41278

Prime Factorization of 41293

Now multiplying the highest exponent prime factors to calculate the LCM of 41278 and 41293.

LCM(41278,41293) = 2¹ × 20639¹ × 7¹ × 17¹ × 347¹
LCM(41278,41293) = 1704492454