What is the Least Common Multiple of 52395 and 52409?

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 52395 and 52409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52395 and 52409, than apply into the LCM equation.

GCF(52395,52409) = 7
LCM(52395,52409) = ( 52395 × 52409) / 7
LCM(52395,52409) = 2745969555 / 7
LCM(52395,52409) = 392281365

Least Common Multiple (LCM) of 52395 and 52409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52395 and 52409. First we will calculate the prime factors of 52395 and 52409.

Prime Factorization of 52395

Prime Factorization of 52409

Now multiplying the highest exponent prime factors to calculate the LCM of 52395 and 52409.

LCM(52395,52409) = 3¹ × 5¹ × 7¹ × 499¹ × 7487¹
LCM(52395,52409) = 392281365