What is the Least Common Multiple of 40809 and 40819?

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 40809 and 40819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40809 and 40819, than apply into the LCM equation.

GCF(40809,40819) = 1
LCM(40809,40819) = ( 40809 × 40819) / 1
LCM(40809,40819) = 1665782571 / 1
LCM(40809,40819) = 1665782571

Least Common Multiple (LCM) of 40809 and 40819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40809 and 40819. First we will calculate the prime factors of 40809 and 40819.

Prime Factorization of 40809

Prime Factorization of 40819

Now multiplying the highest exponent prime factors to calculate the LCM of 40809 and 40819.

LCM(40809,40819) = 3¹ × 61¹ × 223¹ × 40819¹
LCM(40809,40819) = 1665782571