What is the Least Common Multiple of 41519 and 41537?

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 41519 and 41537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41519 and 41537, than apply into the LCM equation.

GCF(41519,41537) = 1
LCM(41519,41537) = ( 41519 × 41537) / 1
LCM(41519,41537) = 1724574703 / 1
LCM(41519,41537) = 1724574703

Least Common Multiple (LCM) of 41519 and 41537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41519 and 41537. First we will calculate the prime factors of 41519 and 41537.

Prime Factorization of 41519

Prime Factorization of 41537

Now multiplying the highest exponent prime factors to calculate the LCM of 41519 and 41537.

LCM(41519,41537) = 41519¹ × 73¹ × 569¹
LCM(41519,41537) = 1724574703