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What is the Least Common Multiple of 5132 and 5143?

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 5132 and 5143 is 26393876.

LCM(5132,5143) = 26393876

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Least Common Multiple of 5132 and 5143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5132 and 5143, than apply into the LCM equation.

GCF(5132,5143) = 1
LCM(5132,5143) = ( 5132 × 5143) / 1
LCM(5132,5143) = 26393876 / 1
LCM(5132,5143) = 26393876

Least Common Multiple (LCM) of 5132 and 5143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5132 and 5143. First we will calculate the prime factors of 5132 and 5143.

Prime Factorization of 5132

Prime factors of 5132 are 2, 1283. Prime factorization of 5132 in exponential form is:

5132 = 22 × 12831

Prime Factorization of 5143

Prime factors of 5143 are 37, 139. Prime factorization of 5143 in exponential form is:

5143 = 371 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5132 and 5143.

LCM(5132,5143) = 22 × 12831 × 371 × 1391
LCM(5132,5143) = 26393876