What is the Least Common Multiple of 54315 and 54321?

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 54315 and 54321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54315 and 54321, than apply into the LCM equation.

GCF(54315,54321) = 3
LCM(54315,54321) = ( 54315 × 54321) / 3
LCM(54315,54321) = 2950445115 / 3
LCM(54315,54321) = 983481705

Least Common Multiple (LCM) of 54315 and 54321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54315 and 54321. First we will calculate the prime factors of 54315 and 54321.

Prime Factorization of 54315

Prime Factorization of 54321

Now multiplying the highest exponent prime factors to calculate the LCM of 54315 and 54321.

LCM(54315,54321) = 3² × 5¹ × 17¹ × 71¹ × 19¹ × 953¹
LCM(54315,54321) = 983481705