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What is the Least Common Multiple of 9918 and 9933?

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 9918 and 9933 is 32838498.

LCM(9918,9933) = 32838498

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Least Common Multiple of 9918 and 9933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9918 and 9933, than apply into the LCM equation.

GCF(9918,9933) = 3
LCM(9918,9933) = ( 9918 × 9933) / 3
LCM(9918,9933) = 98515494 / 3
LCM(9918,9933) = 32838498

Least Common Multiple (LCM) of 9918 and 9933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9918 and 9933. First we will calculate the prime factors of 9918 and 9933.

Prime Factorization of 9918

Prime factors of 9918 are 2, 3, 19, 29. Prime factorization of 9918 in exponential form is:

9918 = 21 × 32 × 191 × 291

Prime Factorization of 9933

Prime factors of 9933 are 3, 7, 11, 43. Prime factorization of 9933 in exponential form is:

9933 = 31 × 71 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 9918 and 9933.

LCM(9918,9933) = 21 × 32 × 191 × 291 × 71 × 111 × 431
LCM(9918,9933) = 32838498