What is the Least Common Multiple of 80088 and 80106?

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 80106 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 80106, than apply into the LCM equation.

GCF(80088,80106) = 6
LCM(80088,80106) = ( 80088 × 80106) / 6
LCM(80088,80106) = 6415529328 / 6
LCM(80088,80106) = 1069254888

Least Common Multiple (LCM) of 80088 and 80106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80088 and 80106. First we will calculate the prime factors of 80088 and 80106.

Prime Factorization of 80088

Prime Factorization of 80106

Now multiplying the highest exponent prime factors to calculate the LCM of 80088 and 80106.

LCM(80088,80106) = 2³ × 3¹ × 47¹ × 71¹ × 13² × 79¹
LCM(80088,80106) = 1069254888