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What is the Least Common Multiple of 5112 and 5117?

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 5112 and 5117 is 26158104.

LCM(5112,5117) = 26158104

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Least Common Multiple of 5112 and 5117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5112 and 5117, than apply into the LCM equation.

GCF(5112,5117) = 1
LCM(5112,5117) = ( 5112 × 5117) / 1
LCM(5112,5117) = 26158104 / 1
LCM(5112,5117) = 26158104

Least Common Multiple (LCM) of 5112 and 5117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5112 and 5117. First we will calculate the prime factors of 5112 and 5117.

Prime Factorization of 5112

Prime factors of 5112 are 2, 3, 71. Prime factorization of 5112 in exponential form is:

5112 = 23 × 32 × 711

Prime Factorization of 5117

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

5117 = 71 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 5112 and 5117.

LCM(5112,5117) = 23 × 32 × 711 × 71 × 171 × 431
LCM(5112,5117) = 26158104