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What is the Least Common Multiple of 26363 and 26367?

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 26363 and 26367 is 695113221.

LCM(26363,26367) = 695113221

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Least Common Multiple of 26363 and 26367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26363 and 26367, than apply into the LCM equation.

GCF(26363,26367) = 1
LCM(26363,26367) = ( 26363 × 26367) / 1
LCM(26363,26367) = 695113221 / 1
LCM(26363,26367) = 695113221

Least Common Multiple (LCM) of 26363 and 26367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26363 and 26367. First we will calculate the prime factors of 26363 and 26367.

Prime Factorization of 26363

Prime factors of 26363 are 41, 643. Prime factorization of 26363 in exponential form is:

26363 = 411 × 6431

Prime Factorization of 26367

Prime factors of 26367 are 3, 11, 17, 47. Prime factorization of 26367 in exponential form is:

26367 = 31 × 111 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 26363 and 26367.

LCM(26363,26367) = 411 × 6431 × 31 × 111 × 171 × 471
LCM(26363,26367) = 695113221