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What is the Least Common Multiple of 5121 and 5131?

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 5121 and 5131 is 26275851.

LCM(5121,5131) = 26275851

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Least Common Multiple of 5121 and 5131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5121 and 5131, than apply into the LCM equation.

GCF(5121,5131) = 1
LCM(5121,5131) = ( 5121 × 5131) / 1
LCM(5121,5131) = 26275851 / 1
LCM(5121,5131) = 26275851

Least Common Multiple (LCM) of 5121 and 5131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5121 and 5131. First we will calculate the prime factors of 5121 and 5131.

Prime Factorization of 5121

Prime factors of 5121 are 3, 569. Prime factorization of 5121 in exponential form is:

5121 = 32 × 5691

Prime Factorization of 5131

Prime factors of 5131 are 7, 733. Prime factorization of 5131 in exponential form is:

5131 = 71 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 5121 and 5131.

LCM(5121,5131) = 32 × 5691 × 71 × 7331
LCM(5121,5131) = 26275851