What is the Least Common Multiple of 41019 and 41037?

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 41019 and 41037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41019 and 41037, than apply into the LCM equation.

GCF(41019,41037) = 3
LCM(41019,41037) = ( 41019 × 41037) / 3
LCM(41019,41037) = 1683296703 / 3
LCM(41019,41037) = 561098901

Least Common Multiple (LCM) of 41019 and 41037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41019 and 41037. First we will calculate the prime factors of 41019 and 41037.

Prime Factorization of 41019

Prime Factorization of 41037

Now multiplying the highest exponent prime factors to calculate the LCM of 41019 and 41037.

LCM(41019,41037) = 3¹ × 11² × 113¹ × 13679¹
LCM(41019,41037) = 561098901