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What is the Least Common Multiple of 5117 and 5123?

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 5123 is 26214391.

LCM(5117,5123) = 26214391

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Least Common Multiple of 5117 and 5123 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 5123, than apply into the LCM equation.

GCF(5117,5123) = 1
LCM(5117,5123) = ( 5117 × 5123) / 1
LCM(5117,5123) = 26214391 / 1
LCM(5117,5123) = 26214391

Least Common Multiple (LCM) of 5117 and 5123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5117 and 5123. First we will calculate the prime factors of 5117 and 5123.

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 5123

Prime factors of 5123 are 47, 109. Prime factorization of 5123 in exponential form is:

5123 = 471 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5117 and 5123.

LCM(5117,5123) = 71 × 171 × 431 × 471 × 1091
LCM(5117,5123) = 26214391