What is the Least Common Multiple of 54321 and 54341?

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 54341 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 54341, than apply into the LCM equation.

GCF(54321,54341) = 1
LCM(54321,54341) = ( 54321 × 54341) / 1
LCM(54321,54341) = 2951857461 / 1
LCM(54321,54341) = 2951857461

Least Common Multiple (LCM) of 54321 and 54341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54321 and 54341. First we will calculate the prime factors of 54321 and 54341.

Prime Factorization of 54321

Prime Factorization of 54341

Now multiplying the highest exponent prime factors to calculate the LCM of 54321 and 54341.

LCM(54321,54341) = 3¹ × 19¹ × 953¹ × 7² × 1109¹
LCM(54321,54341) = 2951857461