What is the Least Common Multiple of 54321 and 54333?

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 54333 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 54333, than apply into the LCM equation.

GCF(54321,54333) = 3
LCM(54321,54333) = ( 54321 × 54333) / 3
LCM(54321,54333) = 2951422893 / 3
LCM(54321,54333) = 983807631

Least Common Multiple (LCM) of 54321 and 54333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54321 and 54333. First we will calculate the prime factors of 54321 and 54333.

Prime Factorization of 54321

Prime Factorization of 54333

Now multiplying the highest exponent prime factors to calculate the LCM of 54321 and 54333.

LCM(54321,54333) = 3² × 19¹ × 953¹ × 6037¹
LCM(54321,54333) = 983807631