What is the Least Common Multiple of 80088 and 80096?

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 80088 and 80096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80088 and 80096, than apply into the LCM equation.

GCF(80088,80096) = 8
LCM(80088,80096) = ( 80088 × 80096) / 8
LCM(80088,80096) = 6414728448 / 8
LCM(80088,80096) = 801841056

Least Common Multiple (LCM) of 80088 and 80096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80088 and 80096. First we will calculate the prime factors of 80088 and 80096.

Prime Factorization of 80088

Prime Factorization of 80096

Now multiplying the highest exponent prime factors to calculate the LCM of 80088 and 80096.

LCM(80088,80096) = 2⁵ × 3¹ × 47¹ × 71¹ × 2503¹
LCM(80088,80096) = 801841056