What is the Least Common Multiple of 80992 and 81001?

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 80992 and 81001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80992 and 81001, than apply into the LCM equation.

GCF(80992,81001) = 1
LCM(80992,81001) = ( 80992 × 81001) / 1
LCM(80992,81001) = 6560432992 / 1
LCM(80992,81001) = 6560432992

Least Common Multiple (LCM) of 80992 and 81001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80992 and 81001. First we will calculate the prime factors of 80992 and 81001.

Prime Factorization of 80992

Prime Factorization of 81001

Now multiplying the highest exponent prime factors to calculate the LCM of 80992 and 81001.

LCM(80992,81001) = 2⁵ × 2531¹ × 81001¹
LCM(80992,81001) = 6560432992