What is the Least Common Multiple of 80112 and 80116?

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 80112 and 80116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80112 and 80116, than apply into the LCM equation.

GCF(80112,80116) = 4
LCM(80112,80116) = ( 80112 × 80116) / 4
LCM(80112,80116) = 6418252992 / 4
LCM(80112,80116) = 1604563248

Least Common Multiple (LCM) of 80112 and 80116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80112 and 80116. First we will calculate the prime factors of 80112 and 80116.

Prime Factorization of 80112

Prime Factorization of 80116

Now multiplying the highest exponent prime factors to calculate the LCM of 80112 and 80116.

LCM(80112,80116) = 2⁴ × 3¹ × 1669¹ × 20029¹
LCM(80112,80116) = 1604563248