What is the Least Common Multiple of 80883 and 80896?

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 80883 and 80896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80883 and 80896, than apply into the LCM equation.

GCF(80883,80896) = 1
LCM(80883,80896) = ( 80883 × 80896) / 1
LCM(80883,80896) = 6543111168 / 1
LCM(80883,80896) = 6543111168

Least Common Multiple (LCM) of 80883 and 80896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80883 and 80896. First we will calculate the prime factors of 80883 and 80896.

Prime Factorization of 80883

Prime Factorization of 80896

Now multiplying the highest exponent prime factors to calculate the LCM of 80883 and 80896.

LCM(80883,80896) = 3² × 11¹ × 19¹ × 43¹ × 2¹⁰ × 79¹
LCM(80883,80896) = 6543111168