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What is the Least Common Multiple of 93879 and 93893?

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 93879 and 93893 is 8814580947.

LCM(93879,93893) = 8814580947

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Least Common Multiple of 93879 and 93893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93879 and 93893, than apply into the LCM equation.

GCF(93879,93893) = 1
LCM(93879,93893) = ( 93879 × 93893) / 1
LCM(93879,93893) = 8814580947 / 1
LCM(93879,93893) = 8814580947

Least Common Multiple (LCM) of 93879 and 93893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93879 and 93893. First we will calculate the prime factors of 93879 and 93893.

Prime Factorization of 93879

Prime factors of 93879 are 3, 19, 61. Prime factorization of 93879 in exponential form is:

93879 = 34 × 191 × 611

Prime Factorization of 93893

Prime factors of 93893 are 93893. Prime factorization of 93893 in exponential form is:

93893 = 938931

Now multiplying the highest exponent prime factors to calculate the LCM of 93879 and 93893.

LCM(93879,93893) = 34 × 191 × 611 × 938931
LCM(93879,93893) = 8814580947