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What is the Least Common Multiple of 93239 and 93248?

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 93239 and 93248 is 8694350272.

LCM(93239,93248) = 8694350272

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Least Common Multiple of 93239 and 93248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93239 and 93248, than apply into the LCM equation.

GCF(93239,93248) = 1
LCM(93239,93248) = ( 93239 × 93248) / 1
LCM(93239,93248) = 8694350272 / 1
LCM(93239,93248) = 8694350272

Least Common Multiple (LCM) of 93239 and 93248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93239 and 93248. First we will calculate the prime factors of 93239 and 93248.

Prime Factorization of 93239

Prime factors of 93239 are 93239. Prime factorization of 93239 in exponential form is:

93239 = 932391

Prime Factorization of 93248

Prime factors of 93248 are 2, 31, 47. Prime factorization of 93248 in exponential form is:

93248 = 26 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 93239 and 93248.

LCM(93239,93248) = 932391 × 26 × 311 × 471
LCM(93239,93248) = 8694350272