What is the Least Common Multiple of 52293 and 52301?

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 52293 and 52301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52293 and 52301, than apply into the LCM equation.

GCF(52293,52301) = 1
LCM(52293,52301) = ( 52293 × 52301) / 1
LCM(52293,52301) = 2734976193 / 1
LCM(52293,52301) = 2734976193

Least Common Multiple (LCM) of 52293 and 52301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52293 and 52301. First we will calculate the prime factors of 52293 and 52301.

Prime Factorization of 52293

Prime Factorization of 52301

Now multiplying the highest exponent prime factors to calculate the LCM of 52293 and 52301.

LCM(52293,52301) = 3¹ × 17431¹ × 52301¹
LCM(52293,52301) = 2734976193