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What is the Least Common Multiple of 26423 and 26437?

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 26423 and 26437 is 698544851.

LCM(26423,26437) = 698544851

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Least Common Multiple of 26423 and 26437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26423 and 26437, than apply into the LCM equation.

GCF(26423,26437) = 1
LCM(26423,26437) = ( 26423 × 26437) / 1
LCM(26423,26437) = 698544851 / 1
LCM(26423,26437) = 698544851

Least Common Multiple (LCM) of 26423 and 26437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26423 and 26437. First we will calculate the prime factors of 26423 and 26437.

Prime Factorization of 26423

Prime factors of 26423 are 26423. Prime factorization of 26423 in exponential form is:

26423 = 264231

Prime Factorization of 26437

Prime factors of 26437 are 26437. Prime factorization of 26437 in exponential form is:

26437 = 264371

Now multiplying the highest exponent prime factors to calculate the LCM of 26423 and 26437.

LCM(26423,26437) = 264231 × 264371
LCM(26423,26437) = 698544851