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What is the Least Common Multiple of 26377 and 26383?

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 26377 and 26383 is 695904391.

LCM(26377,26383) = 695904391

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Least Common Multiple of 26377 and 26383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26377 and 26383, than apply into the LCM equation.

GCF(26377,26383) = 1
LCM(26377,26383) = ( 26377 × 26383) / 1
LCM(26377,26383) = 695904391 / 1
LCM(26377,26383) = 695904391

Least Common Multiple (LCM) of 26377 and 26383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26377 and 26383. First we will calculate the prime factors of 26377 and 26383.

Prime Factorization of 26377

Prime factors of 26377 are 13, 2029. Prime factorization of 26377 in exponential form is:

26377 = 131 × 20291

Prime Factorization of 26383

Prime factors of 26383 are 7, 3769. Prime factorization of 26383 in exponential form is:

26383 = 71 × 37691

Now multiplying the highest exponent prime factors to calculate the LCM of 26377 and 26383.

LCM(26377,26383) = 131 × 20291 × 71 × 37691
LCM(26377,26383) = 695904391