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What is the Least Common Multiple of 17124 and 17139?

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 17124 and 17139 is 97829412.

LCM(17124,17139) = 97829412

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Least Common Multiple of 17124 and 17139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17124 and 17139, than apply into the LCM equation.

GCF(17124,17139) = 3
LCM(17124,17139) = ( 17124 × 17139) / 3
LCM(17124,17139) = 293488236 / 3
LCM(17124,17139) = 97829412

Least Common Multiple (LCM) of 17124 and 17139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17124 and 17139. First we will calculate the prime factors of 17124 and 17139.

Prime Factorization of 17124

Prime factors of 17124 are 2, 3, 1427. Prime factorization of 17124 in exponential form is:

17124 = 22 × 31 × 14271

Prime Factorization of 17139

Prime factors of 17139 are 3, 29, 197. Prime factorization of 17139 in exponential form is:

17139 = 31 × 291 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 17124 and 17139.

LCM(17124,17139) = 22 × 31 × 14271 × 291 × 1971
LCM(17124,17139) = 97829412