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What is the Least Common Multiple of 5141 and 5146?

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 5141 and 5146 is 26455586.

LCM(5141,5146) = 26455586

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Least Common Multiple of 5141 and 5146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5141 and 5146, than apply into the LCM equation.

GCF(5141,5146) = 1
LCM(5141,5146) = ( 5141 × 5146) / 1
LCM(5141,5146) = 26455586 / 1
LCM(5141,5146) = 26455586

Least Common Multiple (LCM) of 5141 and 5146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5141 and 5146. First we will calculate the prime factors of 5141 and 5146.

Prime Factorization of 5141

Prime factors of 5141 are 53, 97. Prime factorization of 5141 in exponential form is:

5141 = 531 × 971

Prime Factorization of 5146

Prime factors of 5146 are 2, 31, 83. Prime factorization of 5146 in exponential form is:

5146 = 21 × 311 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 5141 and 5146.

LCM(5141,5146) = 531 × 971 × 21 × 311 × 831
LCM(5141,5146) = 26455586