What is the Least Common Multiple of 80896 and 80902?

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 80896 and 80902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80896 and 80902, than apply into the LCM equation.

GCF(80896,80902) = 2
LCM(80896,80902) = ( 80896 × 80902) / 2
LCM(80896,80902) = 6544648192 / 2
LCM(80896,80902) = 3272324096

Least Common Multiple (LCM) of 80896 and 80902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80896 and 80902. First we will calculate the prime factors of 80896 and 80902.

Prime Factorization of 80896

Prime Factorization of 80902

Now multiplying the highest exponent prime factors to calculate the LCM of 80896 and 80902.

LCM(80896,80902) = 2¹⁰ × 79¹ × 19¹ × 2129¹
LCM(80896,80902) = 3272324096