What is the Least Common Multiple of 71809 and 71819?

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 71809 and 71819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71809 and 71819, than apply into the LCM equation.

GCF(71809,71819) = 1
LCM(71809,71819) = ( 71809 × 71819) / 1
LCM(71809,71819) = 5157250571 / 1
LCM(71809,71819) = 5157250571

Least Common Multiple (LCM) of 71809 and 71819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71809 and 71819. First we will calculate the prime factors of 71809 and 71819.

Prime Factorization of 71809

Prime Factorization of 71819

Now multiplying the highest exponent prime factors to calculate the LCM of 71809 and 71819.

LCM(71809,71819) = 71809¹ × 11¹ × 6529¹
LCM(71809,71819) = 5157250571