What is the Least Common Multiple of 54321 and 54339?

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 54321 and 54339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54321 and 54339, than apply into the LCM equation.

GCF(54321,54339) = 3
LCM(54321,54339) = ( 54321 × 54339) / 3
LCM(54321,54339) = 2951748819 / 3
LCM(54321,54339) = 983916273

Least Common Multiple (LCM) of 54321 and 54339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54321 and 54339. First we will calculate the prime factors of 54321 and 54339.

Prime Factorization of 54321

Prime Factorization of 54339

Now multiplying the highest exponent prime factors to calculate the LCM of 54321 and 54339.

LCM(54321,54339) = 3¹ × 19¹ × 953¹ × 59¹ × 307¹
LCM(54321,54339) = 983916273