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What is the Least Common Multiple of 26182 and 26194?

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 26182 and 26194 is 342905654.

LCM(26182,26194) = 342905654

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Least Common Multiple of 26182 and 26194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26182 and 26194, than apply into the LCM equation.

GCF(26182,26194) = 2
LCM(26182,26194) = ( 26182 × 26194) / 2
LCM(26182,26194) = 685811308 / 2
LCM(26182,26194) = 342905654

Least Common Multiple (LCM) of 26182 and 26194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26182 and 26194. First we will calculate the prime factors of 26182 and 26194.

Prime Factorization of 26182

Prime factors of 26182 are 2, 13, 19, 53. Prime factorization of 26182 in exponential form is:

26182 = 21 × 131 × 191 × 531

Prime Factorization of 26194

Prime factors of 26194 are 2, 7, 1871. Prime factorization of 26194 in exponential form is:

26194 = 21 × 71 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 26182 and 26194.

LCM(26182,26194) = 21 × 131 × 191 × 531 × 71 × 18711
LCM(26182,26194) = 342905654