What is the Least Common Multiple of 17604 and 17624?

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 17624 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 17624, than apply into the LCM equation.

GCF(17604,17624) = 4
LCM(17604,17624) = ( 17604 × 17624) / 4
LCM(17604,17624) = 310252896 / 4
LCM(17604,17624) = 77563224

Least Common Multiple (LCM) of 17604 and 17624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17604 and 17624. First we will calculate the prime factors of 17604 and 17624.

Prime Factorization of 17604

Prime Factorization of 17624

Now multiplying the highest exponent prime factors to calculate the LCM of 17604 and 17624.

LCM(17604,17624) = 2³ × 3³ × 163¹ × 2203¹
LCM(17604,17624) = 77563224