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What is the Least Common Multiple of 5117 and 5122?

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 5117 and 5122 is 26209274.

LCM(5117,5122) = 26209274

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Least Common Multiple of 5117 and 5122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5117 and 5122, than apply into the LCM equation.

GCF(5117,5122) = 1
LCM(5117,5122) = ( 5117 × 5122) / 1
LCM(5117,5122) = 26209274 / 1
LCM(5117,5122) = 26209274

Least Common Multiple (LCM) of 5117 and 5122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5117 and 5122. First we will calculate the prime factors of 5117 and 5122.

Prime Factorization of 5117

Prime factors of 5117 are 7, 17, 43. Prime factorization of 5117 in exponential form is:

5117 = 71 × 171 × 431

Prime Factorization of 5122

Prime factors of 5122 are 2, 13, 197. Prime factorization of 5122 in exponential form is:

5122 = 21 × 131 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5117 and 5122.

LCM(5117,5122) = 71 × 171 × 431 × 21 × 131 × 1971
LCM(5117,5122) = 26209274