What is the Least Common Multiple of 81584 and 81603?

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 81603 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 81603, than apply into the LCM equation.

GCF(81584,81603) = 1
LCM(81584,81603) = ( 81584 × 81603) / 1
LCM(81584,81603) = 6657499152 / 1
LCM(81584,81603) = 6657499152

Least Common Multiple (LCM) of 81584 and 81603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81584 and 81603. First we will calculate the prime factors of 81584 and 81603.

Prime Factorization of 81584

Prime Factorization of 81603

Now multiplying the highest exponent prime factors to calculate the LCM of 81584 and 81603.

LCM(81584,81603) = 2⁴ × 5099¹ × 3² × 9067¹
LCM(81584,81603) = 6657499152