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What is the Least Common Multiple of 26384 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 26384 and 26388 is 174055248.

LCM(26384,26388) = 174055248

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Least Common Multiple of 26384 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 26384 and 26388, than apply into the LCM equation.

GCF(26384,26388) = 4
LCM(26384,26388) = ( 26384 × 26388) / 4
LCM(26384,26388) = 696220992 / 4
LCM(26384,26388) = 174055248

Least Common Multiple (LCM) of 26384 and 26388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26384 and 26388. First we will calculate the prime factors of 26384 and 26388.

Prime Factorization of 26384

Prime factors of 26384 are 2, 17, 97. Prime factorization of 26384 in exponential form is:

26384 = 24 × 171 × 971

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 26384 and 26388.

LCM(26384,26388) = 24 × 171 × 971 × 32 × 7331
LCM(26384,26388) = 174055248