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What is the Least Common Multiple of 55353 and 55359?

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 55353 and 55359 is 1021428909.

LCM(55353,55359) = 1021428909

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Least Common Multiple of 55353 and 55359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55353 and 55359, than apply into the LCM equation.

GCF(55353,55359) = 3
LCM(55353,55359) = ( 55353 × 55359) / 3
LCM(55353,55359) = 3064286727 / 3
LCM(55353,55359) = 1021428909

Least Common Multiple (LCM) of 55353 and 55359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55353 and 55359. First we will calculate the prime factors of 55353 and 55359.

Prime Factorization of 55353

Prime factors of 55353 are 3, 18451. Prime factorization of 55353 in exponential form is:

55353 = 31 × 184511

Prime Factorization of 55359

Prime factors of 55359 are 3, 6151. Prime factorization of 55359 in exponential form is:

55359 = 32 × 61511

Now multiplying the highest exponent prime factors to calculate the LCM of 55353 and 55359.

LCM(55353,55359) = 32 × 184511 × 61511
LCM(55353,55359) = 1021428909