What is the Least Common Multiple of 52374 and 52381?

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 52374 and 52381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52374 and 52381, than apply into the LCM equation.

GCF(52374,52381) = 7
LCM(52374,52381) = ( 52374 × 52381) / 7
LCM(52374,52381) = 2743402494 / 7
LCM(52374,52381) = 391914642

Least Common Multiple (LCM) of 52374 and 52381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52374 and 52381. First we will calculate the prime factors of 52374 and 52381.

Prime Factorization of 52374

Prime Factorization of 52381

Now multiplying the highest exponent prime factors to calculate the LCM of 52374 and 52381.

LCM(52374,52381) = 2¹ × 3¹ × 7² × 29¹ × 43¹ × 1069¹
LCM(52374,52381) = 391914642