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What is the Least Common Multiple of 54346 and 54359?

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 54346 and 54359 is 2954194214.

LCM(54346,54359) = 2954194214

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Least Common Multiple of 54346 and 54359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54346 and 54359, than apply into the LCM equation.

GCF(54346,54359) = 1
LCM(54346,54359) = ( 54346 × 54359) / 1
LCM(54346,54359) = 2954194214 / 1
LCM(54346,54359) = 2954194214

Least Common Multiple (LCM) of 54346 and 54359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54346 and 54359. First we will calculate the prime factors of 54346 and 54359.

Prime Factorization of 54346

Prime factors of 54346 are 2, 29, 937. Prime factorization of 54346 in exponential form is:

54346 = 21 × 291 × 9371

Prime Factorization of 54359

Prime factors of 54359 are 19, 2861. Prime factorization of 54359 in exponential form is:

54359 = 191 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 54346 and 54359.

LCM(54346,54359) = 21 × 291 × 9371 × 191 × 28611
LCM(54346,54359) = 2954194214