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What is the Least Common Multiple of 54349 and 54353?

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 54349 and 54353 is 2954031197.

LCM(54349,54353) = 2954031197

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Least Common Multiple of 54349 and 54353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54349 and 54353, than apply into the LCM equation.

GCF(54349,54353) = 1
LCM(54349,54353) = ( 54349 × 54353) / 1
LCM(54349,54353) = 2954031197 / 1
LCM(54349,54353) = 2954031197

Least Common Multiple (LCM) of 54349 and 54353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54349 and 54353. First we will calculate the prime factors of 54349 and 54353.

Prime Factorization of 54349

Prime factors of 54349 are 17, 23, 139. Prime factorization of 54349 in exponential form is:

54349 = 171 × 231 × 1391

Prime Factorization of 54353

Prime factors of 54353 are 13, 37, 113. Prime factorization of 54353 in exponential form is:

54353 = 131 × 371 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 54349 and 54353.

LCM(54349,54353) = 171 × 231 × 1391 × 131 × 371 × 1131
LCM(54349,54353) = 2954031197