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What is the Least Common Multiple of 54277 and 54283?

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 54277 and 54283 is 2946318391.

LCM(54277,54283) = 2946318391

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Least Common Multiple of 54277 and 54283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54277 and 54283, than apply into the LCM equation.

GCF(54277,54283) = 1
LCM(54277,54283) = ( 54277 × 54283) / 1
LCM(54277,54283) = 2946318391 / 1
LCM(54277,54283) = 2946318391

Least Common Multiple (LCM) of 54277 and 54283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54277 and 54283. First we will calculate the prime factors of 54277 and 54283.

Prime Factorization of 54277

Prime factors of 54277 are 54277. Prime factorization of 54277 in exponential form is:

54277 = 542771

Prime Factorization of 54283

Prime factors of 54283 are 19, 2857. Prime factorization of 54283 in exponential form is:

54283 = 191 × 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 54277 and 54283.

LCM(54277,54283) = 542771 × 191 × 28571
LCM(54277,54283) = 2946318391