What is the Least Common Multiple of 80900 and 80905?

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 80900 and 80905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80900 and 80905, than apply into the LCM equation.

GCF(80900,80905) = 5
LCM(80900,80905) = ( 80900 × 80905) / 5
LCM(80900,80905) = 6545214500 / 5
LCM(80900,80905) = 1309042900

Least Common Multiple (LCM) of 80900 and 80905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80900 and 80905. First we will calculate the prime factors of 80900 and 80905.

Prime Factorization of 80900

Prime Factorization of 80905

Now multiplying the highest exponent prime factors to calculate the LCM of 80900 and 80905.

LCM(80900,80905) = 2² × 5² × 809¹ × 11¹ × 1471¹
LCM(80900,80905) = 1309042900