What is the Least Common Multiple of 73809 and 73819?

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 73809 and 73819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73809 and 73819, than apply into the LCM equation.

GCF(73809,73819) = 1
LCM(73809,73819) = ( 73809 × 73819) / 1
LCM(73809,73819) = 5448506571 / 1
LCM(73809,73819) = 5448506571

Least Common Multiple (LCM) of 73809 and 73819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73809 and 73819. First we will calculate the prime factors of 73809 and 73819.

Prime Factorization of 73809

Prime Factorization of 73819

Now multiplying the highest exponent prime factors to calculate the LCM of 73809 and 73819.

LCM(73809,73819) = 3² × 59¹ × 139¹ × 73819¹
LCM(73809,73819) = 5448506571