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What is the Least Common Multiple of 93188 and 93200?

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 93188 and 93200 is 2171280400.

LCM(93188,93200) = 2171280400

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Least Common Multiple of 93188 and 93200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93188 and 93200, than apply into the LCM equation.

GCF(93188,93200) = 4
LCM(93188,93200) = ( 93188 × 93200) / 4
LCM(93188,93200) = 8685121600 / 4
LCM(93188,93200) = 2171280400

Least Common Multiple (LCM) of 93188 and 93200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93188 and 93200. First we will calculate the prime factors of 93188 and 93200.

Prime Factorization of 93188

Prime factors of 93188 are 2, 23297. Prime factorization of 93188 in exponential form is:

93188 = 22 × 232971

Prime Factorization of 93200

Prime factors of 93200 are 2, 5, 233. Prime factorization of 93200 in exponential form is:

93200 = 24 × 52 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 93188 and 93200.

LCM(93188,93200) = 24 × 232971 × 52 × 2331
LCM(93188,93200) = 2171280400