What is the Least Common Multiple of 80586 and 80600?

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 80586 and 80600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80586 and 80600, than apply into the LCM equation.

GCF(80586,80600) = 2
LCM(80586,80600) = ( 80586 × 80600) / 2
LCM(80586,80600) = 6495231600 / 2
LCM(80586,80600) = 3247615800

Least Common Multiple (LCM) of 80586 and 80600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80586 and 80600. First we will calculate the prime factors of 80586 and 80600.

Prime Factorization of 80586

Prime Factorization of 80600

Now multiplying the highest exponent prime factors to calculate the LCM of 80586 and 80600.

LCM(80586,80600) = 2³ × 3² × 11² × 37¹ × 5² × 13¹ × 31¹
LCM(80586,80600) = 3247615800