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What is the Least Common Multiple of 93876 and 93885?

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 93876 and 93885 is 2937849420.

LCM(93876,93885) = 2937849420

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Least Common Multiple of 93876 and 93885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93876 and 93885, than apply into the LCM equation.

GCF(93876,93885) = 3
LCM(93876,93885) = ( 93876 × 93885) / 3
LCM(93876,93885) = 8813548260 / 3
LCM(93876,93885) = 2937849420

Least Common Multiple (LCM) of 93876 and 93885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93876 and 93885. First we will calculate the prime factors of 93876 and 93885.

Prime Factorization of 93876

Prime factors of 93876 are 2, 3, 7823. Prime factorization of 93876 in exponential form is:

93876 = 22 × 31 × 78231

Prime Factorization of 93885

Prime factors of 93885 are 3, 5, 11, 569. Prime factorization of 93885 in exponential form is:

93885 = 31 × 51 × 111 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 93876 and 93885.

LCM(93876,93885) = 22 × 31 × 78231 × 51 × 111 × 5691
LCM(93876,93885) = 2937849420