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What is the Least Common Multiple of 93828 and 93832?

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 93828 and 93832 is 2201017224.

LCM(93828,93832) = 2201017224

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Least Common Multiple of 93828 and 93832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93828 and 93832, than apply into the LCM equation.

GCF(93828,93832) = 4
LCM(93828,93832) = ( 93828 × 93832) / 4
LCM(93828,93832) = 8804068896 / 4
LCM(93828,93832) = 2201017224

Least Common Multiple (LCM) of 93828 and 93832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93828 and 93832. First we will calculate the prime factors of 93828 and 93832.

Prime Factorization of 93828

Prime factors of 93828 are 2, 3, 7, 1117. Prime factorization of 93828 in exponential form is:

93828 = 22 × 31 × 71 × 11171

Prime Factorization of 93832

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

93832 = 23 × 371 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 93828 and 93832.

LCM(93828,93832) = 23 × 31 × 71 × 11171 × 371 × 3171
LCM(93828,93832) = 2201017224