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What is the Least Common Multiple of 26409 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 26409 and 26426 is 697884234.

LCM(26409,26426) = 697884234

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Least Common Multiple of 26409 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 26409 and 26426, than apply into the LCM equation.

GCF(26409,26426) = 1
LCM(26409,26426) = ( 26409 × 26426) / 1
LCM(26409,26426) = 697884234 / 1
LCM(26409,26426) = 697884234

Least Common Multiple (LCM) of 26409 and 26426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26409 and 26426. First we will calculate the prime factors of 26409 and 26426.

Prime Factorization of 26409

Prime factors of 26409 are 3, 8803. Prime factorization of 26409 in exponential form is:

26409 = 31 × 88031

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 26409 and 26426.

LCM(26409,26426) = 31 × 88031 × 21 × 731 × 1811
LCM(26409,26426) = 697884234