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What is the Least Common Multiple of 54347 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 54347 and 54363 is 2954465961.

LCM(54347,54363) = 2954465961

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Least Common Multiple of 54347 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 54347 and 54363, than apply into the LCM equation.

GCF(54347,54363) = 1
LCM(54347,54363) = ( 54347 × 54363) / 1
LCM(54347,54363) = 2954465961 / 1
LCM(54347,54363) = 2954465961

Least Common Multiple (LCM) of 54347 and 54363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54347 and 54363. First we will calculate the prime factors of 54347 and 54363.

Prime Factorization of 54347

Prime factors of 54347 are 54347. Prime factorization of 54347 in exponential form is:

54347 = 543471

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 54347 and 54363.

LCM(54347,54363) = 543471 × 31 × 181211
LCM(54347,54363) = 2954465961