What is the Least Common Multiple of 80982 and 80992?

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 80992 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 80992, than apply into the LCM equation.

GCF(80982,80992) = 2
LCM(80982,80992) = ( 80982 × 80992) / 2
LCM(80982,80992) = 6558894144 / 2
LCM(80982,80992) = 3279447072

Least Common Multiple (LCM) of 80982 and 80992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80982 and 80992. First we will calculate the prime factors of 80982 and 80992.

Prime Factorization of 80982

Prime Factorization of 80992

Now multiplying the highest exponent prime factors to calculate the LCM of 80982 and 80992.

LCM(80982,80992) = 2⁵ × 3² × 11¹ × 409¹ × 2531¹
LCM(80982,80992) = 3279447072