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What is the Least Common Multiple of 26334 and 26347?

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 26334 and 26347 is 693821898.

LCM(26334,26347) = 693821898

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Least Common Multiple of 26334 and 26347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26334 and 26347, than apply into the LCM equation.

GCF(26334,26347) = 1
LCM(26334,26347) = ( 26334 × 26347) / 1
LCM(26334,26347) = 693821898 / 1
LCM(26334,26347) = 693821898

Least Common Multiple (LCM) of 26334 and 26347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26334 and 26347. First we will calculate the prime factors of 26334 and 26347.

Prime Factorization of 26334

Prime factors of 26334 are 2, 3, 7, 11, 19. Prime factorization of 26334 in exponential form is:

26334 = 21 × 32 × 71 × 111 × 191

Prime Factorization of 26347

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

26347 = 263471

Now multiplying the highest exponent prime factors to calculate the LCM of 26334 and 26347.

LCM(26334,26347) = 21 × 32 × 71 × 111 × 191 × 263471
LCM(26334,26347) = 693821898