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What is the Least Common Multiple of 93828 and 93848?

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 93848 is 2201392536.

LCM(93828,93848) = 2201392536

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Least Common Multiple of 93828 and 93848 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 93848, than apply into the LCM equation.

GCF(93828,93848) = 4
LCM(93828,93848) = ( 93828 × 93848) / 4
LCM(93828,93848) = 8805570144 / 4
LCM(93828,93848) = 2201392536

Least Common Multiple (LCM) of 93828 and 93848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93828 and 93848. First we will calculate the prime factors of 93828 and 93848.

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 93848

Prime factors of 93848 are 2, 11731. Prime factorization of 93848 in exponential form is:

93848 = 23 × 117311

Now multiplying the highest exponent prime factors to calculate the LCM of 93828 and 93848.

LCM(93828,93848) = 23 × 31 × 71 × 11171 × 117311
LCM(93828,93848) = 2201392536