What is the Least Common Multiple of 52381 and 52392?

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 52381 and 52392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52381 and 52392, than apply into the LCM equation.

GCF(52381,52392) = 1
LCM(52381,52392) = ( 52381 × 52392) / 1
LCM(52381,52392) = 2744345352 / 1
LCM(52381,52392) = 2744345352

Least Common Multiple (LCM) of 52381 and 52392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52381 and 52392. First we will calculate the prime factors of 52381 and 52392.

Prime Factorization of 52381

Prime Factorization of 52392

Now multiplying the highest exponent prime factors to calculate the LCM of 52381 and 52392.

LCM(52381,52392) = 7² × 1069¹ × 2³ × 3¹ × 37¹ × 59¹
LCM(52381,52392) = 2744345352