GCF and LCM Calculator Logo

What is the Least Common Multiple of 54345 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 (LCM) of 54345 and 54363 is 984785745.

LCM(54345,54363) = 984785745

LCM Calculator and
and

Least Common Multiple of 54345 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 54345 and 54363, than apply into the LCM equation.

GCF(54345,54363) = 3
LCM(54345,54363) = ( 54345 × 54363) / 3
LCM(54345,54363) = 2954357235 / 3
LCM(54345,54363) = 984785745

Least Common Multiple (LCM) of 54345 and 54363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54345 and 54363. First we will calculate the prime factors of 54345 and 54363.

Prime Factorization of 54345

Prime factors of 54345 are 3, 5, 3623. Prime factorization of 54345 in exponential form is:

54345 = 31 × 51 × 36231

Prime Factorization of 54363

Prime factors of 54363 are 3, 18121. Prime factorization of 54363 in exponential form is:

54363 = 31 × 181211

Now multiplying the highest exponent prime factors to calculate the LCM of 54345 and 54363.

LCM(54345,54363) = 31 × 51 × 36231 × 181211
LCM(54345,54363) = 984785745