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What is the Least Common Multiple of 93832 and 93842?

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 93832 and 93842 is 4402691272.

LCM(93832,93842) = 4402691272

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Least Common Multiple of 93832 and 93842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93832 and 93842, than apply into the LCM equation.

GCF(93832,93842) = 2
LCM(93832,93842) = ( 93832 × 93842) / 2
LCM(93832,93842) = 8805382544 / 2
LCM(93832,93842) = 4402691272

Least Common Multiple (LCM) of 93832 and 93842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93832 and 93842. First we will calculate the prime factors of 93832 and 93842.

Prime Factorization of 93832

Prime factors of 93832 are 2, 37, 317. Prime factorization of 93832 in exponential form is:

93832 = 23 × 371 × 3171

Prime Factorization of 93842

Prime factors of 93842 are 2, 7, 6703. Prime factorization of 93842 in exponential form is:

93842 = 21 × 71 × 67031

Now multiplying the highest exponent prime factors to calculate the LCM of 93832 and 93842.

LCM(93832,93842) = 23 × 371 × 3171 × 71 × 67031
LCM(93832,93842) = 4402691272