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What is the Least Common Multiple of 26347 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 26347 and 26367 is 694691349.

LCM(26347,26367) = 694691349

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Least Common Multiple of 26347 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 26347 and 26367, than apply into the LCM equation.

GCF(26347,26367) = 1
LCM(26347,26367) = ( 26347 × 26367) / 1
LCM(26347,26367) = 694691349 / 1
LCM(26347,26367) = 694691349

Least Common Multiple (LCM) of 26347 and 26367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26347 and 26367. First we will calculate the prime factors of 26347 and 26367.

Prime Factorization of 26347

Prime factors of 26347 are 26347. Prime factorization of 26347 in exponential form is:

26347 = 263471

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 26347 and 26367.

LCM(26347,26367) = 263471 × 31 × 111 × 171 × 471
LCM(26347,26367) = 694691349