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What is the Least Common Multiple of 27903 and 27918?

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 27903 and 27918 is 259665318.

LCM(27903,27918) = 259665318

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Least Common Multiple of 27903 and 27918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27903 and 27918, than apply into the LCM equation.

GCF(27903,27918) = 3
LCM(27903,27918) = ( 27903 × 27918) / 3
LCM(27903,27918) = 778995954 / 3
LCM(27903,27918) = 259665318

Least Common Multiple (LCM) of 27903 and 27918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27903 and 27918. First we will calculate the prime factors of 27903 and 27918.

Prime Factorization of 27903

Prime factors of 27903 are 3, 71, 131. Prime factorization of 27903 in exponential form is:

27903 = 31 × 711 × 1311

Prime Factorization of 27918

Prime factors of 27918 are 2, 3, 11, 47. Prime factorization of 27918 in exponential form is:

27918 = 21 × 33 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 27903 and 27918.

LCM(27903,27918) = 33 × 711 × 1311 × 21 × 111 × 471
LCM(27903,27918) = 259665318