What is the Least Common Multiple of 41274 and 41282?

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 41274 and 41282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41274 and 41282, than apply into the LCM equation.

GCF(41274,41282) = 2
LCM(41274,41282) = ( 41274 × 41282) / 2
LCM(41274,41282) = 1703873268 / 2
LCM(41274,41282) = 851936634

Least Common Multiple (LCM) of 41274 and 41282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41274 and 41282. First we will calculate the prime factors of 41274 and 41282.

Prime Factorization of 41274

Prime Factorization of 41282

Now multiplying the highest exponent prime factors to calculate the LCM of 41274 and 41282.

LCM(41274,41282) = 2¹ × 3² × 2293¹ × 20641¹
LCM(41274,41282) = 851936634