What is the Least Common Multiple of 3604 and 3624?

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 3604 and 3624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3604 and 3624, than apply into the LCM equation.

GCF(3604,3624) = 4
LCM(3604,3624) = ( 3604 × 3624) / 4
LCM(3604,3624) = 13060896 / 4
LCM(3604,3624) = 3265224

Least Common Multiple (LCM) of 3604 and 3624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3604 and 3624. First we will calculate the prime factors of 3604 and 3624.

Prime Factorization of 3604

Prime Factorization of 3624

Now multiplying the highest exponent prime factors to calculate the LCM of 3604 and 3624.

LCM(3604,3624) = 2³ × 17¹ × 53¹ × 3¹ × 151¹
LCM(3604,3624) = 3265224