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What is the Least Common Multiple of 54355 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 54355 and 54363 is 2954900865.

LCM(54355,54363) = 2954900865

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Least Common Multiple of 54355 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 54355 and 54363, than apply into the LCM equation.

GCF(54355,54363) = 1
LCM(54355,54363) = ( 54355 × 54363) / 1
LCM(54355,54363) = 2954900865 / 1
LCM(54355,54363) = 2954900865

Least Common Multiple (LCM) of 54355 and 54363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54355 and 54363. First we will calculate the prime factors of 54355 and 54363.

Prime Factorization of 54355

Prime factors of 54355 are 5, 7, 1553. Prime factorization of 54355 in exponential form is:

54355 = 51 × 71 × 15531

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 54355 and 54363.

LCM(54355,54363) = 51 × 71 × 15531 × 31 × 181211
LCM(54355,54363) = 2954900865