What is the Least Common Multiple of 6585 and 6603?

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 6585 and 6603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6585 and 6603, than apply into the LCM equation.

GCF(6585,6603) = 3
LCM(6585,6603) = ( 6585 × 6603) / 3
LCM(6585,6603) = 43480755 / 3
LCM(6585,6603) = 14493585

Least Common Multiple (LCM) of 6585 and 6603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6585 and 6603. First we will calculate the prime factors of 6585 and 6603.

Prime Factorization of 6585

Prime Factorization of 6603

Now multiplying the highest exponent prime factors to calculate the LCM of 6585 and 6603.

LCM(6585,6603) = 3¹ × 5¹ × 439¹ × 31¹ × 71¹
LCM(6585,6603) = 14493585