What is the Least Common Multiple of 52329 and 52340?

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 52329 and 52340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52329 and 52340, than apply into the LCM equation.

GCF(52329,52340) = 1
LCM(52329,52340) = ( 52329 × 52340) / 1
LCM(52329,52340) = 2738899860 / 1
LCM(52329,52340) = 2738899860

Least Common Multiple (LCM) of 52329 and 52340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52329 and 52340. First we will calculate the prime factors of 52329 and 52340.

Prime Factorization of 52329

Prime Factorization of 52340

Now multiplying the highest exponent prime factors to calculate the LCM of 52329 and 52340.

LCM(52329,52340) = 3¹ × 17443¹ × 2² × 5¹ × 2617¹
LCM(52329,52340) = 2738899860