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What is the Least Common Multiple of 26404 and 26414?

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 26404 and 26414 is 348717628.

LCM(26404,26414) = 348717628

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Least Common Multiple of 26404 and 26414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26404 and 26414, than apply into the LCM equation.

GCF(26404,26414) = 2
LCM(26404,26414) = ( 26404 × 26414) / 2
LCM(26404,26414) = 697435256 / 2
LCM(26404,26414) = 348717628

Least Common Multiple (LCM) of 26404 and 26414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26404 and 26414. First we will calculate the prime factors of 26404 and 26414.

Prime Factorization of 26404

Prime factors of 26404 are 2, 7, 23, 41. Prime factorization of 26404 in exponential form is:

26404 = 22 × 71 × 231 × 411

Prime Factorization of 26414

Prime factors of 26414 are 2, 47, 281. Prime factorization of 26414 in exponential form is:

26414 = 21 × 471 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 26404 and 26414.

LCM(26404,26414) = 22 × 71 × 231 × 411 × 471 × 2811
LCM(26404,26414) = 348717628