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What is the Least Common Multiple of 93858 and 93869?

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 93858 and 93869 is 8810356602.

LCM(93858,93869) = 8810356602

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Least Common Multiple of 93858 and 93869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93858 and 93869, than apply into the LCM equation.

GCF(93858,93869) = 1
LCM(93858,93869) = ( 93858 × 93869) / 1
LCM(93858,93869) = 8810356602 / 1
LCM(93858,93869) = 8810356602

Least Common Multiple (LCM) of 93858 and 93869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93858 and 93869. First we will calculate the prime factors of 93858 and 93869.

Prime Factorization of 93858

Prime factors of 93858 are 2, 3, 15643. Prime factorization of 93858 in exponential form is:

93858 = 21 × 31 × 156431

Prime Factorization of 93869

Prime factors of 93869 are 37, 43, 59. Prime factorization of 93869 in exponential form is:

93869 = 371 × 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 93858 and 93869.

LCM(93858,93869) = 21 × 31 × 156431 × 371 × 431 × 591
LCM(93858,93869) = 8810356602