What is the Least Common Multiple of 80905 and 80909?

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 80905 and 80909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80905 and 80909, than apply into the LCM equation.

GCF(80905,80909) = 1
LCM(80905,80909) = ( 80905 × 80909) / 1
LCM(80905,80909) = 6545942645 / 1
LCM(80905,80909) = 6545942645

Least Common Multiple (LCM) of 80905 and 80909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80905 and 80909. First we will calculate the prime factors of 80905 and 80909.

Prime Factorization of 80905

Prime Factorization of 80909

Now multiplying the highest exponent prime factors to calculate the LCM of 80905 and 80909.

LCM(80905,80909) = 5¹ × 11¹ × 1471¹ × 80909¹
LCM(80905,80909) = 6545942645