What is the Least Common Multiple of 54349 and 54363?

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 54349 and 54363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54349 and 54363, than apply into the LCM equation.

GCF(54349,54363) = 1
LCM(54349,54363) = ( 54349 × 54363) / 1
LCM(54349,54363) = 2954574687 / 1
LCM(54349,54363) = 2954574687

Least Common Multiple (LCM) of 54349 and 54363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54349 and 54363. First we will calculate the prime factors of 54349 and 54363.

Prime Factorization of 54349

Prime Factorization of 54363

Now multiplying the highest exponent prime factors to calculate the LCM of 54349 and 54363.

LCM(54349,54363) = 17¹ × 23¹ × 139¹ × 3¹ × 18121¹
LCM(54349,54363) = 2954574687