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What is the Least Common Multiple of 5189 and 5205?

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 5189 and 5205 is 27008745.

LCM(5189,5205) = 27008745

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Least Common Multiple of 5189 and 5205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5189 and 5205, than apply into the LCM equation.

GCF(5189,5205) = 1
LCM(5189,5205) = ( 5189 × 5205) / 1
LCM(5189,5205) = 27008745 / 1
LCM(5189,5205) = 27008745

Least Common Multiple (LCM) of 5189 and 5205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5189 and 5205. First we will calculate the prime factors of 5189 and 5205.

Prime Factorization of 5189

Prime factors of 5189 are 5189. Prime factorization of 5189 in exponential form is:

5189 = 51891

Prime Factorization of 5205

Prime factors of 5205 are 3, 5, 347. Prime factorization of 5205 in exponential form is:

5205 = 31 × 51 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 5189 and 5205.

LCM(5189,5205) = 51891 × 31 × 51 × 3471
LCM(5189,5205) = 27008745