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What is the Least Common Multiple of 26385 and 26396?

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 26396 is 696458460.

LCM(26385,26396) = 696458460

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Least Common Multiple of 26385 and 26396 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 26396, than apply into the LCM equation.

GCF(26385,26396) = 1
LCM(26385,26396) = ( 26385 × 26396) / 1
LCM(26385,26396) = 696458460 / 1
LCM(26385,26396) = 696458460

Least Common Multiple (LCM) of 26385 and 26396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26385 and 26396. First we will calculate the prime factors of 26385 and 26396.

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 26396

Prime factors of 26396 are 2, 6599. Prime factorization of 26396 in exponential form is:

26396 = 22 × 65991

Now multiplying the highest exponent prime factors to calculate the LCM of 26385 and 26396.

LCM(26385,26396) = 31 × 51 × 17591 × 22 × 65991
LCM(26385,26396) = 696458460