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What is the Least Common Multiple of 26413 and 26426?

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 26413 and 26426 is 697989938.

LCM(26413,26426) = 697989938

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Least Common Multiple of 26413 and 26426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26413 and 26426, than apply into the LCM equation.

GCF(26413,26426) = 1
LCM(26413,26426) = ( 26413 × 26426) / 1
LCM(26413,26426) = 697989938 / 1
LCM(26413,26426) = 697989938

Least Common Multiple (LCM) of 26413 and 26426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26413 and 26426. First we will calculate the prime factors of 26413 and 26426.

Prime Factorization of 26413

Prime factors of 26413 are 61, 433. Prime factorization of 26413 in exponential form is:

26413 = 611 × 4331

Prime Factorization of 26426

Prime factors of 26426 are 2, 73, 181. Prime factorization of 26426 in exponential form is:

26426 = 21 × 731 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 26413 and 26426.

LCM(26413,26426) = 611 × 4331 × 21 × 731 × 1811
LCM(26413,26426) = 697989938