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What is the Least Common Multiple of 93869 and 93882?

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 93869 and 93882 is 8812609458.

LCM(93869,93882) = 8812609458

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Least Common Multiple of 93869 and 93882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93869 and 93882, than apply into the LCM equation.

GCF(93869,93882) = 1
LCM(93869,93882) = ( 93869 × 93882) / 1
LCM(93869,93882) = 8812609458 / 1
LCM(93869,93882) = 8812609458

Least Common Multiple (LCM) of 93869 and 93882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93869 and 93882. First we will calculate the prime factors of 93869 and 93882.

Prime Factorization of 93869

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

93869 = 371 × 431 × 591

Prime Factorization of 93882

Prime factors of 93882 are 2, 3, 15647. Prime factorization of 93882 in exponential form is:

93882 = 21 × 31 × 156471

Now multiplying the highest exponent prime factors to calculate the LCM of 93869 and 93882.

LCM(93869,93882) = 371 × 431 × 591 × 21 × 31 × 156471
LCM(93869,93882) = 8812609458