What is the Least Common Multiple of 41020 and 41038?

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 41020 and 41038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41020 and 41038, than apply into the LCM equation.

GCF(41020,41038) = 2
LCM(41020,41038) = ( 41020 × 41038) / 2
LCM(41020,41038) = 1683378760 / 2
LCM(41020,41038) = 841689380

Least Common Multiple (LCM) of 41020 and 41038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41020 and 41038. First we will calculate the prime factors of 41020 and 41038.

Prime Factorization of 41020

Prime Factorization of 41038

Now multiplying the highest exponent prime factors to calculate the LCM of 41020 and 41038.

LCM(41020,41038) = 2² × 5¹ × 7¹ × 293¹ × 17² × 71¹
LCM(41020,41038) = 841689380