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What is the Least Common Multiple of 918 and 927?

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 918 and 927 is 94554.

LCM(918,927) = 94554

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Least Common Multiple of 918 and 927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 918 and 927, than apply into the LCM equation.

GCF(918,927) = 9
LCM(918,927) = ( 918 × 927) / 9
LCM(918,927) = 850986 / 9
LCM(918,927) = 94554

Least Common Multiple (LCM) of 918 and 927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 927. First we will calculate the prime factors of 918 and 927.

Prime Factorization of 918

Prime factors of 918 are 2, 3, 17. Prime factorization of 918 in exponential form is:

918 = 21 × 33 × 171

Prime Factorization of 927

Prime factors of 927 are 3, 103. Prime factorization of 927 in exponential form is:

927 = 32 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 918 and 927.

LCM(918,927) = 21 × 33 × 171 × 1031
LCM(918,927) = 94554