What is the Least Common Multiple of 41478 and 41492?

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 41478 and 41492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41478 and 41492, than apply into the LCM equation.

GCF(41478,41492) = 2
LCM(41478,41492) = ( 41478 × 41492) / 2
LCM(41478,41492) = 1721005176 / 2
LCM(41478,41492) = 860502588

Least Common Multiple (LCM) of 41478 and 41492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41478 and 41492. First we will calculate the prime factors of 41478 and 41492.

Prime Factorization of 41478

Prime Factorization of 41492

Now multiplying the highest exponent prime factors to calculate the LCM of 41478 and 41492.

LCM(41478,41492) = 2² × 3¹ × 31¹ × 223¹ × 11¹ × 23¹ × 41¹
LCM(41478,41492) = 860502588