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What is the Least Common Multiple of 5168 and 5175?

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 5168 and 5175 is 26744400.

LCM(5168,5175) = 26744400

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Least Common Multiple of 5168 and 5175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5168 and 5175, than apply into the LCM equation.

GCF(5168,5175) = 1
LCM(5168,5175) = ( 5168 × 5175) / 1
LCM(5168,5175) = 26744400 / 1
LCM(5168,5175) = 26744400

Least Common Multiple (LCM) of 5168 and 5175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5168 and 5175. First we will calculate the prime factors of 5168 and 5175.

Prime Factorization of 5168

Prime factors of 5168 are 2, 17, 19. Prime factorization of 5168 in exponential form is:

5168 = 24 × 171 × 191

Prime Factorization of 5175

Prime factors of 5175 are 3, 5, 23. Prime factorization of 5175 in exponential form is:

5175 = 32 × 52 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5168 and 5175.

LCM(5168,5175) = 24 × 171 × 191 × 32 × 52 × 231
LCM(5168,5175) = 26744400