What is the Least Common Multiple of 17604 and 17616?

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 17604 and 17616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17604 and 17616, than apply into the LCM equation.

GCF(17604,17616) = 12
LCM(17604,17616) = ( 17604 × 17616) / 12
LCM(17604,17616) = 310112064 / 12
LCM(17604,17616) = 25842672

Least Common Multiple (LCM) of 17604 and 17616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17604 and 17616. First we will calculate the prime factors of 17604 and 17616.

Prime Factorization of 17604

Prime Factorization of 17616

Now multiplying the highest exponent prime factors to calculate the LCM of 17604 and 17616.

LCM(17604,17616) = 2⁴ × 3³ × 163¹ × 367¹
LCM(17604,17616) = 25842672