What is the Least Common Multiple of 3585 and 3604?

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 3585 and 3604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3585 and 3604, than apply into the LCM equation.

GCF(3585,3604) = 1
LCM(3585,3604) = ( 3585 × 3604) / 1
LCM(3585,3604) = 12920340 / 1
LCM(3585,3604) = 12920340

Least Common Multiple (LCM) of 3585 and 3604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3585 and 3604. First we will calculate the prime factors of 3585 and 3604.

Prime Factorization of 3585

Prime Factorization of 3604

Now multiplying the highest exponent prime factors to calculate the LCM of 3585 and 3604.

LCM(3585,3604) = 3¹ × 5¹ × 239¹ × 2² × 17¹ × 53¹
LCM(3585,3604) = 12920340