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What is the Least Common Multiple of 17925 and 17936?

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 17925 and 17936 is 321502800.

LCM(17925,17936) = 321502800

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Least Common Multiple of 17925 and 17936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17925 and 17936, than apply into the LCM equation.

GCF(17925,17936) = 1
LCM(17925,17936) = ( 17925 × 17936) / 1
LCM(17925,17936) = 321502800 / 1
LCM(17925,17936) = 321502800

Least Common Multiple (LCM) of 17925 and 17936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17925 and 17936. First we will calculate the prime factors of 17925 and 17936.

Prime Factorization of 17925

Prime factors of 17925 are 3, 5, 239. Prime factorization of 17925 in exponential form is:

17925 = 31 × 52 × 2391

Prime Factorization of 17936

Prime factors of 17936 are 2, 19, 59. Prime factorization of 17936 in exponential form is:

17936 = 24 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 17925 and 17936.

LCM(17925,17936) = 31 × 52 × 2391 × 24 × 191 × 591
LCM(17925,17936) = 321502800