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What is the Least Common Multiple of 93927 and 93945?

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 93927 and 93945 is 2941324005.

LCM(93927,93945) = 2941324005

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Least Common Multiple of 93927 and 93945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93927 and 93945, than apply into the LCM equation.

GCF(93927,93945) = 3
LCM(93927,93945) = ( 93927 × 93945) / 3
LCM(93927,93945) = 8823972015 / 3
LCM(93927,93945) = 2941324005

Least Common Multiple (LCM) of 93927 and 93945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93927 and 93945. First we will calculate the prime factors of 93927 and 93945.

Prime Factorization of 93927

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

93927 = 31 × 1311 × 2391

Prime Factorization of 93945

Prime factors of 93945 are 3, 5, 6263. Prime factorization of 93945 in exponential form is:

93945 = 31 × 51 × 62631

Now multiplying the highest exponent prime factors to calculate the LCM of 93927 and 93945.

LCM(93927,93945) = 31 × 1311 × 2391 × 51 × 62631
LCM(93927,93945) = 2941324005