What is the Least Common Multiple of 54297 and 54309?

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 54297 and 54309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54297 and 54309, than apply into the LCM equation.

GCF(54297,54309) = 3
LCM(54297,54309) = ( 54297 × 54309) / 3
LCM(54297,54309) = 2948815773 / 3
LCM(54297,54309) = 982938591

Least Common Multiple (LCM) of 54297 and 54309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54297 and 54309. First we will calculate the prime factors of 54297 and 54309.

Prime Factorization of 54297

Prime Factorization of 54309

Now multiplying the highest exponent prime factors to calculate the LCM of 54297 and 54309.

LCM(54297,54309) = 3³ × 2011¹ × 43¹ × 421¹
LCM(54297,54309) = 982938591