What is the Least Common Multiple of 52384 and 52404?

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 52384 and 52404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52384 and 52404, than apply into the LCM equation.

GCF(52384,52404) = 4
LCM(52384,52404) = ( 52384 × 52404) / 4
LCM(52384,52404) = 2745131136 / 4
LCM(52384,52404) = 686282784

Least Common Multiple (LCM) of 52384 and 52404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52384 and 52404. First we will calculate the prime factors of 52384 and 52404.

Prime Factorization of 52384

Prime Factorization of 52404

Now multiplying the highest exponent prime factors to calculate the LCM of 52384 and 52404.

LCM(52384,52404) = 2⁵ × 1637¹ × 3¹ × 11¹ × 397¹
LCM(52384,52404) = 686282784