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What is the Least Common Multiple of 93918 and 93927?

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 93918 and 93927 is 2940478662.

LCM(93918,93927) = 2940478662

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Least Common Multiple of 93918 and 93927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93918 and 93927, than apply into the LCM equation.

GCF(93918,93927) = 3
LCM(93918,93927) = ( 93918 × 93927) / 3
LCM(93918,93927) = 8821435986 / 3
LCM(93918,93927) = 2940478662

Least Common Multiple (LCM) of 93918 and 93927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93918 and 93927. First we will calculate the prime factors of 93918 and 93927.

Prime Factorization of 93918

Prime factors of 93918 are 2, 3, 11, 1423. Prime factorization of 93918 in exponential form is:

93918 = 21 × 31 × 111 × 14231

Prime Factorization of 93927

Prime factors of 93927 are 3, 131, 239. Prime factorization of 93927 in exponential form is:

93927 = 31 × 1311 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 93918 and 93927.

LCM(93918,93927) = 21 × 31 × 111 × 14231 × 1311 × 2391
LCM(93918,93927) = 2940478662