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What is the Least Common Multiple of 26194 and 26210?

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 26194 and 26210 is 343272370.

LCM(26194,26210) = 343272370

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Least Common Multiple of 26194 and 26210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26194 and 26210, than apply into the LCM equation.

GCF(26194,26210) = 2
LCM(26194,26210) = ( 26194 × 26210) / 2
LCM(26194,26210) = 686544740 / 2
LCM(26194,26210) = 343272370

Least Common Multiple (LCM) of 26194 and 26210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26194 and 26210. First we will calculate the prime factors of 26194 and 26210.

Prime Factorization of 26194

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

26194 = 21 × 71 × 18711

Prime Factorization of 26210

Prime factors of 26210 are 2, 5, 2621. Prime factorization of 26210 in exponential form is:

26210 = 21 × 51 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 26194 and 26210.

LCM(26194,26210) = 21 × 71 × 18711 × 51 × 26211
LCM(26194,26210) = 343272370