What is the Least Common Multiple of 41014 and 41031?

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 41014 and 41031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41014 and 41031, than apply into the LCM equation.

GCF(41014,41031) = 1
LCM(41014,41031) = ( 41014 × 41031) / 1
LCM(41014,41031) = 1682845434 / 1
LCM(41014,41031) = 1682845434

Least Common Multiple (LCM) of 41014 and 41031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41014 and 41031. First we will calculate the prime factors of 41014 and 41031.

Prime Factorization of 41014

Prime Factorization of 41031

Now multiplying the highest exponent prime factors to calculate the LCM of 41014 and 41031.

LCM(41014,41031) = 2¹ × 20507¹ × 3² × 47¹ × 97¹
LCM(41014,41031) = 1682845434