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What is the Least Common Multiple of 1904 and 1913?

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 1913 is 3642352.

LCM(1904,1913) = 3642352

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Least Common Multiple of 1904 and 1913 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 1913, than apply into the LCM equation.

GCF(1904,1913) = 1
LCM(1904,1913) = ( 1904 × 1913) / 1
LCM(1904,1913) = 3642352 / 1
LCM(1904,1913) = 3642352

Least Common Multiple (LCM) of 1904 and 1913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1904 and 1913. First we will calculate the prime factors of 1904 and 1913.

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 1913

Prime factors of 1913 are 1913. Prime factorization of 1913 in exponential form is:

1913 = 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 1904 and 1913.

LCM(1904,1913) = 24 × 71 × 171 × 19131
LCM(1904,1913) = 3642352