What is the Least Common Multiple of 52323 and 52341?

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 52323 and 52341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52323 and 52341, than apply into the LCM equation.

GCF(52323,52341) = 3
LCM(52323,52341) = ( 52323 × 52341) / 3
LCM(52323,52341) = 2738638143 / 3
LCM(52323,52341) = 912879381

Least Common Multiple (LCM) of 52323 and 52341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52323 and 52341. First we will calculate the prime factors of 52323 and 52341.

Prime Factorization of 52323

Prime Factorization of 52341

Now multiplying the highest exponent prime factors to calculate the LCM of 52323 and 52341.

LCM(52323,52341) = 3¹ × 107¹ × 163¹ × 73¹ × 239¹
LCM(52323,52341) = 912879381