What is the Least Common Multiple of 11604 and 11624?

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 11604 and 11624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11604 and 11624, than apply into the LCM equation.

GCF(11604,11624) = 4
LCM(11604,11624) = ( 11604 × 11624) / 4
LCM(11604,11624) = 134884896 / 4
LCM(11604,11624) = 33721224

Least Common Multiple (LCM) of 11604 and 11624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11604 and 11624. First we will calculate the prime factors of 11604 and 11624.

Prime Factorization of 11604

Prime Factorization of 11624

Now multiplying the highest exponent prime factors to calculate the LCM of 11604 and 11624.

LCM(11604,11624) = 2³ × 3¹ × 967¹ × 1453¹
LCM(11604,11624) = 33721224