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What is the Least Common Multiple of 26172 and 26179?

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 26172 and 26179 is 685156788.

LCM(26172,26179) = 685156788

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Least Common Multiple of 26172 and 26179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26172 and 26179, than apply into the LCM equation.

GCF(26172,26179) = 1
LCM(26172,26179) = ( 26172 × 26179) / 1
LCM(26172,26179) = 685156788 / 1
LCM(26172,26179) = 685156788

Least Common Multiple (LCM) of 26172 and 26179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26172 and 26179. First we will calculate the prime factors of 26172 and 26179.

Prime Factorization of 26172

Prime factors of 26172 are 2, 3, 727. Prime factorization of 26172 in exponential form is:

26172 = 22 × 32 × 7271

Prime Factorization of 26179

Prime factors of 26179 are 47, 557. Prime factorization of 26179 in exponential form is:

26179 = 471 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 26172 and 26179.

LCM(26172,26179) = 22 × 32 × 7271 × 471 × 5571
LCM(26172,26179) = 685156788