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What is the Least Common Multiple of 1904 and 1911?

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 1904 and 1911 is 519792.

LCM(1904,1911) = 519792

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Least Common Multiple of 1904 and 1911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1904 and 1911, than apply into the LCM equation.

GCF(1904,1911) = 7
LCM(1904,1911) = ( 1904 × 1911) / 7
LCM(1904,1911) = 3638544 / 7
LCM(1904,1911) = 519792

Least Common Multiple (LCM) of 1904 and 1911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1904 and 1911. First we will calculate the prime factors of 1904 and 1911.

Prime Factorization of 1904

Prime factors of 1904 are 2, 7, 17. Prime factorization of 1904 in exponential form is:

1904 = 24 × 71 × 171

Prime Factorization of 1911

Prime factors of 1911 are 3, 7, 13. Prime factorization of 1911 in exponential form is:

1911 = 31 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1904 and 1911.

LCM(1904,1911) = 24 × 72 × 171 × 31 × 131
LCM(1904,1911) = 519792