What is the Least Common Multiple of 48321 and 48340?

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 48321 and 48340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48321 and 48340, than apply into the LCM equation.

GCF(48321,48340) = 1
LCM(48321,48340) = ( 48321 × 48340) / 1
LCM(48321,48340) = 2335837140 / 1
LCM(48321,48340) = 2335837140

Least Common Multiple (LCM) of 48321 and 48340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48321 and 48340. First we will calculate the prime factors of 48321 and 48340.

Prime Factorization of 48321

Prime Factorization of 48340

Now multiplying the highest exponent prime factors to calculate the LCM of 48321 and 48340.

LCM(48321,48340) = 3² × 7¹ × 13¹ × 59¹ × 2² × 5¹ × 2417¹
LCM(48321,48340) = 2335837140