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What is the Least Common Multiple of 26405 and 26422?

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 26405 and 26422 is 697672910.

LCM(26405,26422) = 697672910

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Least Common Multiple of 26405 and 26422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26405 and 26422, than apply into the LCM equation.

GCF(26405,26422) = 1
LCM(26405,26422) = ( 26405 × 26422) / 1
LCM(26405,26422) = 697672910 / 1
LCM(26405,26422) = 697672910

Least Common Multiple (LCM) of 26405 and 26422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26405 and 26422. First we will calculate the prime factors of 26405 and 26422.

Prime Factorization of 26405

Prime factors of 26405 are 5, 5281. Prime factorization of 26405 in exponential form is:

26405 = 51 × 52811

Prime Factorization of 26422

Prime factors of 26422 are 2, 11, 1201. Prime factorization of 26422 in exponential form is:

26422 = 21 × 111 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 26405 and 26422.

LCM(26405,26422) = 51 × 52811 × 21 × 111 × 12011
LCM(26405,26422) = 697672910