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What is the Least Common Multiple of 26385 and 26403?

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 26385 and 26403 is 232214385.

LCM(26385,26403) = 232214385

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Least Common Multiple of 26385 and 26403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26385 and 26403, than apply into the LCM equation.

GCF(26385,26403) = 3
LCM(26385,26403) = ( 26385 × 26403) / 3
LCM(26385,26403) = 696643155 / 3
LCM(26385,26403) = 232214385

Least Common Multiple (LCM) of 26385 and 26403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26385 and 26403. First we will calculate the prime factors of 26385 and 26403.

Prime Factorization of 26385

Prime factors of 26385 are 3, 5, 1759. Prime factorization of 26385 in exponential form is:

26385 = 31 × 51 × 17591

Prime Factorization of 26403

Prime factors of 26403 are 3, 13, 677. Prime factorization of 26403 in exponential form is:

26403 = 31 × 131 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 26385 and 26403.

LCM(26385,26403) = 31 × 51 × 17591 × 131 × 6771
LCM(26385,26403) = 232214385