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What is the Least Common Multiple of 17812 and 17817?

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 17812 and 17817 is 317356404.

LCM(17812,17817) = 317356404

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Least Common Multiple of 17812 and 17817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17812 and 17817, than apply into the LCM equation.

GCF(17812,17817) = 1
LCM(17812,17817) = ( 17812 × 17817) / 1
LCM(17812,17817) = 317356404 / 1
LCM(17812,17817) = 317356404

Least Common Multiple (LCM) of 17812 and 17817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17812 and 17817. First we will calculate the prime factors of 17812 and 17817.

Prime Factorization of 17812

Prime factors of 17812 are 2, 61, 73. Prime factorization of 17812 in exponential form is:

17812 = 22 × 611 × 731

Prime Factorization of 17817

Prime factors of 17817 are 3, 5939. Prime factorization of 17817 in exponential form is:

17817 = 31 × 59391

Now multiplying the highest exponent prime factors to calculate the LCM of 17812 and 17817.

LCM(17812,17817) = 22 × 611 × 731 × 31 × 59391
LCM(17812,17817) = 317356404