What is the Least Common Multiple of 59322 and 59340?

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 59322 and 59340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59322 and 59340, than apply into the LCM equation.

GCF(59322,59340) = 6
LCM(59322,59340) = ( 59322 × 59340) / 6
LCM(59322,59340) = 3520167480 / 6
LCM(59322,59340) = 586694580

Least Common Multiple (LCM) of 59322 and 59340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59322 and 59340. First we will calculate the prime factors of 59322 and 59340.

Prime Factorization of 59322

Prime Factorization of 59340

Now multiplying the highest exponent prime factors to calculate the LCM of 59322 and 59340.

LCM(59322,59340) = 2² × 3¹ × 9887¹ × 5¹ × 23¹ × 43¹
LCM(59322,59340) = 586694580