What is the Least Common Multiple of 81584 and 81602?

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 81584 and 81602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81584 and 81602, than apply into the LCM equation.

GCF(81584,81602) = 2
LCM(81584,81602) = ( 81584 × 81602) / 2
LCM(81584,81602) = 6657417568 / 2
LCM(81584,81602) = 3328708784

Least Common Multiple (LCM) of 81584 and 81602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81584 and 81602. First we will calculate the prime factors of 81584 and 81602.

Prime Factorization of 81584

Prime Factorization of 81602

Now multiplying the highest exponent prime factors to calculate the LCM of 81584 and 81602.

LCM(81584,81602) = 2⁴ × 5099¹ × 40801¹
LCM(81584,81602) = 3328708784