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What is the Least Common Multiple of 17902 and 17908?

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 17902 and 17908 is 160294508.

LCM(17902,17908) = 160294508

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Least Common Multiple of 17902 and 17908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17902 and 17908, than apply into the LCM equation.

GCF(17902,17908) = 2
LCM(17902,17908) = ( 17902 × 17908) / 2
LCM(17902,17908) = 320589016 / 2
LCM(17902,17908) = 160294508

Least Common Multiple (LCM) of 17902 and 17908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17902 and 17908. First we will calculate the prime factors of 17902 and 17908.

Prime Factorization of 17902

Prime factors of 17902 are 2, 8951. Prime factorization of 17902 in exponential form is:

17902 = 21 × 89511

Prime Factorization of 17908

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

17908 = 22 × 112 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 17902 and 17908.

LCM(17902,17908) = 22 × 89511 × 112 × 371
LCM(17902,17908) = 160294508