What is the Least Common Multiple of 80982 and 80991?

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 80982 and 80991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80982 and 80991, than apply into the LCM equation.

GCF(80982,80991) = 9
LCM(80982,80991) = ( 80982 × 80991) / 9
LCM(80982,80991) = 6558813162 / 9
LCM(80982,80991) = 728757018

Least Common Multiple (LCM) of 80982 and 80991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80982 and 80991. First we will calculate the prime factors of 80982 and 80991.

Prime Factorization of 80982

Prime Factorization of 80991

Now multiplying the highest exponent prime factors to calculate the LCM of 80982 and 80991.

LCM(80982,80991) = 2¹ × 3² × 11¹ × 409¹ × 8999¹
LCM(80982,80991) = 728757018