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What is the Least Common Multiple of 26409 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 26409 and 26414 is 697567326.

LCM(26409,26414) = 697567326

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Least Common Multiple of 26409 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 26409 and 26414, than apply into the LCM equation.

GCF(26409,26414) = 1
LCM(26409,26414) = ( 26409 × 26414) / 1
LCM(26409,26414) = 697567326 / 1
LCM(26409,26414) = 697567326

Least Common Multiple (LCM) of 26409 and 26414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26409 and 26414. First we will calculate the prime factors of 26409 and 26414.

Prime Factorization of 26409

Prime factors of 26409 are 3, 8803. Prime factorization of 26409 in exponential form is:

26409 = 31 × 88031

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 26409 and 26414.

LCM(26409,26414) = 31 × 88031 × 21 × 471 × 2811
LCM(26409,26414) = 697567326