What is the Least Common Multiple of 40517 and 40537?

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 40517 and 40537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40517 and 40537, than apply into the LCM equation.

GCF(40517,40537) = 1
LCM(40517,40537) = ( 40517 × 40537) / 1
LCM(40517,40537) = 1642437629 / 1
LCM(40517,40537) = 1642437629

Least Common Multiple (LCM) of 40517 and 40537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40517 and 40537. First we will calculate the prime factors of 40517 and 40537.

Prime Factorization of 40517

Prime Factorization of 40537

Now multiplying the highest exponent prime factors to calculate the LCM of 40517 and 40537.

LCM(40517,40537) = 31¹ × 1307¹ × 7¹ × 5791¹
LCM(40517,40537) = 1642437629