What is the Least Common Multiple of 80971 and 80982?

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 80971 and 80982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80971 and 80982, than apply into the LCM equation.

GCF(80971,80982) = 11
LCM(80971,80982) = ( 80971 × 80982) / 11
LCM(80971,80982) = 6557193522 / 11
LCM(80971,80982) = 596108502

Least Common Multiple (LCM) of 80971 and 80982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80971 and 80982. First we will calculate the prime factors of 80971 and 80982.

Prime Factorization of 80971

Prime Factorization of 80982

Now multiplying the highest exponent prime factors to calculate the LCM of 80971 and 80982.

LCM(80971,80982) = 11¹ × 17¹ × 433¹ × 2¹ × 3² × 409¹
LCM(80971,80982) = 596108502