What is the Least Common Multiple of 54339 and 54349?

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 54339 and 54349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54339 and 54349, than apply into the LCM equation.

GCF(54339,54349) = 1
LCM(54339,54349) = ( 54339 × 54349) / 1
LCM(54339,54349) = 2953270311 / 1
LCM(54339,54349) = 2953270311

Least Common Multiple (LCM) of 54339 and 54349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54339 and 54349. First we will calculate the prime factors of 54339 and 54349.

Prime Factorization of 54339

Prime Factorization of 54349

Now multiplying the highest exponent prime factors to calculate the LCM of 54339 and 54349.

LCM(54339,54349) = 3¹ × 59¹ × 307¹ × 17¹ × 23¹ × 139¹
LCM(54339,54349) = 2953270311