What is the Least Common Multiple of 52593 and 52603?

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 52593 and 52603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52593 and 52603, than apply into the LCM equation.

GCF(52593,52603) = 1
LCM(52593,52603) = ( 52593 × 52603) / 1
LCM(52593,52603) = 2766549579 / 1
LCM(52593,52603) = 2766549579

Least Common Multiple (LCM) of 52593 and 52603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52593 and 52603. First we will calculate the prime factors of 52593 and 52603.

Prime Factorization of 52593

Prime Factorization of 52603

Now multiplying the highest exponent prime factors to calculate the LCM of 52593 and 52603.

LCM(52593,52603) = 3¹ × 47¹ × 373¹ × 41¹ × 1283¹
LCM(52593,52603) = 2766549579