What is the Least Common Multiple of 80586 and 80603?

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 80603 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 80603, than apply into the LCM equation.

GCF(80586,80603) = 1
LCM(80586,80603) = ( 80586 × 80603) / 1
LCM(80586,80603) = 6495473358 / 1
LCM(80586,80603) = 6495473358

Least Common Multiple (LCM) of 80586 and 80603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80586 and 80603. First we will calculate the prime factors of 80586 and 80603.

Prime Factorization of 80586

Prime Factorization of 80603

Now multiplying the highest exponent prime factors to calculate the LCM of 80586 and 80603.

LCM(80586,80603) = 2¹ × 3² × 11² × 37¹ × 80603¹
LCM(80586,80603) = 6495473358