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What is the Least Common Multiple of 26179 and 26193?

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 26179 and 26193 is 685706547.

LCM(26179,26193) = 685706547

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Least Common Multiple of 26179 and 26193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26179 and 26193, than apply into the LCM equation.

GCF(26179,26193) = 1
LCM(26179,26193) = ( 26179 × 26193) / 1
LCM(26179,26193) = 685706547 / 1
LCM(26179,26193) = 685706547

Least Common Multiple (LCM) of 26179 and 26193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26179 and 26193. First we will calculate the prime factors of 26179 and 26193.

Prime Factorization of 26179

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

26179 = 471 × 5571

Prime Factorization of 26193

Prime factors of 26193 are 3, 8731. Prime factorization of 26193 in exponential form is:

26193 = 31 × 87311

Now multiplying the highest exponent prime factors to calculate the LCM of 26179 and 26193.

LCM(26179,26193) = 471 × 5571 × 31 × 87311
LCM(26179,26193) = 685706547