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What is the Least Common Multiple of 26606 and 26614?

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 26606 and 26614 is 354046042.

LCM(26606,26614) = 354046042

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Least Common Multiple of 26606 and 26614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26606 and 26614, than apply into the LCM equation.

GCF(26606,26614) = 2
LCM(26606,26614) = ( 26606 × 26614) / 2
LCM(26606,26614) = 708092084 / 2
LCM(26606,26614) = 354046042

Least Common Multiple (LCM) of 26606 and 26614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26606 and 26614. First we will calculate the prime factors of 26606 and 26614.

Prime Factorization of 26606

Prime factors of 26606 are 2, 53, 251. Prime factorization of 26606 in exponential form is:

26606 = 21 × 531 × 2511

Prime Factorization of 26614

Prime factors of 26614 are 2, 7, 1901. Prime factorization of 26614 in exponential form is:

26614 = 21 × 71 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 26606 and 26614.

LCM(26606,26614) = 21 × 531 × 2511 × 71 × 19011
LCM(26606,26614) = 354046042