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What is the Least Common Multiple of 27918 and 27933?

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 27918 and 27933 is 259944498.

LCM(27918,27933) = 259944498

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Least Common Multiple of 27918 and 27933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27918 and 27933, than apply into the LCM equation.

GCF(27918,27933) = 3
LCM(27918,27933) = ( 27918 × 27933) / 3
LCM(27918,27933) = 779833494 / 3
LCM(27918,27933) = 259944498

Least Common Multiple (LCM) of 27918 and 27933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27918 and 27933. First we will calculate the prime factors of 27918 and 27933.

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

Prime Factorization of 27933

Prime factors of 27933 are 3, 9311. Prime factorization of 27933 in exponential form is:

27933 = 31 × 93111

Now multiplying the highest exponent prime factors to calculate the LCM of 27918 and 27933.

LCM(27918,27933) = 21 × 33 × 111 × 471 × 93111
LCM(27918,27933) = 259944498