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What is the Least Common Multiple of 54357 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 54357 and 54363 is 985003197.

LCM(54357,54363) = 985003197

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Least Common Multiple of 54357 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 54357 and 54363, than apply into the LCM equation.

GCF(54357,54363) = 3
LCM(54357,54363) = ( 54357 × 54363) / 3
LCM(54357,54363) = 2955009591 / 3
LCM(54357,54363) = 985003197

Least Common Multiple (LCM) of 54357 and 54363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54357 and 54363. First we will calculate the prime factors of 54357 and 54363.

Prime Factorization of 54357

Prime factors of 54357 are 3, 18119. Prime factorization of 54357 in exponential form is:

54357 = 31 × 181191

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 54357 and 54363.

LCM(54357,54363) = 31 × 181191 × 181211
LCM(54357,54363) = 985003197