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What is the Least Common Multiple of 93878 and 93889?

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 93878 and 93889 is 8814111542.

LCM(93878,93889) = 8814111542

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Least Common Multiple of 93878 and 93889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93878 and 93889, than apply into the LCM equation.

GCF(93878,93889) = 1
LCM(93878,93889) = ( 93878 × 93889) / 1
LCM(93878,93889) = 8814111542 / 1
LCM(93878,93889) = 8814111542

Least Common Multiple (LCM) of 93878 and 93889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93878 and 93889. First we will calculate the prime factors of 93878 and 93889.

Prime Factorization of 93878

Prime factors of 93878 are 2, 73, 643. Prime factorization of 93878 in exponential form is:

93878 = 21 × 731 × 6431

Prime Factorization of 93889

Prime factors of 93889 are 93889. Prime factorization of 93889 in exponential form is:

93889 = 938891

Now multiplying the highest exponent prime factors to calculate the LCM of 93878 and 93889.

LCM(93878,93889) = 21 × 731 × 6431 × 938891
LCM(93878,93889) = 8814111542