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What is the Least Common Multiple of 26606 and 26612?

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 26612 is 354019436.

LCM(26606,26612) = 354019436

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Least Common Multiple of 26606 and 26612 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 26612, than apply into the LCM equation.

GCF(26606,26612) = 2
LCM(26606,26612) = ( 26606 × 26612) / 2
LCM(26606,26612) = 708038872 / 2
LCM(26606,26612) = 354019436

Least Common Multiple (LCM) of 26606 and 26612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26606 and 26612. First we will calculate the prime factors of 26606 and 26612.

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 26612

Prime factors of 26612 are 2, 6653. Prime factorization of 26612 in exponential form is:

26612 = 22 × 66531

Now multiplying the highest exponent prime factors to calculate the LCM of 26606 and 26612.

LCM(26606,26612) = 22 × 531 × 2511 × 66531
LCM(26606,26612) = 354019436