What is the Least Common Multiple of 80823 and 80831?

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 80823 and 80831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80823 and 80831, than apply into the LCM equation.

GCF(80823,80831) = 1
LCM(80823,80831) = ( 80823 × 80831) / 1
LCM(80823,80831) = 6533003913 / 1
LCM(80823,80831) = 6533003913

Least Common Multiple (LCM) of 80823 and 80831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80823 and 80831. First we will calculate the prime factors of 80823 and 80831.

Prime Factorization of 80823

Prime Factorization of 80831

Now multiplying the highest exponent prime factors to calculate the LCM of 80823 and 80831.

LCM(80823,80831) = 3¹ × 29¹ × 929¹ × 80831¹
LCM(80823,80831) = 6533003913