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What is the Least Common Multiple of 17908 and 17921?

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 17908 and 17921 is 320929268.

LCM(17908,17921) = 320929268

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Least Common Multiple of 17908 and 17921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17908 and 17921, than apply into the LCM equation.

GCF(17908,17921) = 1
LCM(17908,17921) = ( 17908 × 17921) / 1
LCM(17908,17921) = 320929268 / 1
LCM(17908,17921) = 320929268

Least Common Multiple (LCM) of 17908 and 17921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17908 and 17921. First we will calculate the prime factors of 17908 and 17921.

Prime Factorization of 17908

Prime factors of 17908 are 2, 11, 37. Prime factorization of 17908 in exponential form is:

17908 = 22 × 112 × 371

Prime Factorization of 17921

Prime factors of 17921 are 17921. Prime factorization of 17921 in exponential form is:

17921 = 179211

Now multiplying the highest exponent prime factors to calculate the LCM of 17908 and 17921.

LCM(17908,17921) = 22 × 112 × 371 × 179211
LCM(17908,17921) = 320929268