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What is the Least Common Multiple of 26369 and 26388?

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 26369 and 26388 is 695825172.

LCM(26369,26388) = 695825172

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Least Common Multiple of 26369 and 26388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26369 and 26388, than apply into the LCM equation.

GCF(26369,26388) = 1
LCM(26369,26388) = ( 26369 × 26388) / 1
LCM(26369,26388) = 695825172 / 1
LCM(26369,26388) = 695825172

Least Common Multiple (LCM) of 26369 and 26388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26369 and 26388. First we will calculate the prime factors of 26369 and 26388.

Prime Factorization of 26369

Prime factors of 26369 are 7, 3767. Prime factorization of 26369 in exponential form is:

26369 = 71 × 37671

Prime Factorization of 26388

Prime factors of 26388 are 2, 3, 733. Prime factorization of 26388 in exponential form is:

26388 = 22 × 32 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 26369 and 26388.

LCM(26369,26388) = 71 × 37671 × 22 × 32 × 7331
LCM(26369,26388) = 695825172