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What is the Least Common Multiple of 26380 and 26386?

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 26380 and 26386 is 348031340.

LCM(26380,26386) = 348031340

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Least Common Multiple of 26380 and 26386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26380 and 26386, than apply into the LCM equation.

GCF(26380,26386) = 2
LCM(26380,26386) = ( 26380 × 26386) / 2
LCM(26380,26386) = 696062680 / 2
LCM(26380,26386) = 348031340

Least Common Multiple (LCM) of 26380 and 26386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26380 and 26386. First we will calculate the prime factors of 26380 and 26386.

Prime Factorization of 26380

Prime factors of 26380 are 2, 5, 1319. Prime factorization of 26380 in exponential form is:

26380 = 22 × 51 × 13191

Prime Factorization of 26386

Prime factors of 26386 are 2, 79, 167. Prime factorization of 26386 in exponential form is:

26386 = 21 × 791 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 26380 and 26386.

LCM(26380,26386) = 22 × 51 × 13191 × 791 × 1671
LCM(26380,26386) = 348031340