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What is the Least Common Multiple of 26590 and 26606?

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 26590 and 26606 is 353726770.

LCM(26590,26606) = 353726770

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Least Common Multiple of 26590 and 26606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26590 and 26606, than apply into the LCM equation.

GCF(26590,26606) = 2
LCM(26590,26606) = ( 26590 × 26606) / 2
LCM(26590,26606) = 707453540 / 2
LCM(26590,26606) = 353726770

Least Common Multiple (LCM) of 26590 and 26606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26590 and 26606. First we will calculate the prime factors of 26590 and 26606.

Prime Factorization of 26590

Prime factors of 26590 are 2, 5, 2659. Prime factorization of 26590 in exponential form is:

26590 = 21 × 51 × 26591

Prime Factorization of 26606

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

26606 = 21 × 531 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 26590 and 26606.

LCM(26590,26606) = 21 × 51 × 26591 × 531 × 2511
LCM(26590,26606) = 353726770