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What is the Least Common Multiple of 46188 and 46193?

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 46188 and 46193 is 2133562284.

LCM(46188,46193) = 2133562284

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Least Common Multiple of 46188 and 46193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46188 and 46193, than apply into the LCM equation.

GCF(46188,46193) = 1
LCM(46188,46193) = ( 46188 × 46193) / 1
LCM(46188,46193) = 2133562284 / 1
LCM(46188,46193) = 2133562284

Least Common Multiple (LCM) of 46188 and 46193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46188 and 46193. First we will calculate the prime factors of 46188 and 46193.

Prime Factorization of 46188

Prime factors of 46188 are 2, 3, 1283. Prime factorization of 46188 in exponential form is:

46188 = 22 × 32 × 12831

Prime Factorization of 46193

Prime factors of 46193 are 7, 6599. Prime factorization of 46193 in exponential form is:

46193 = 71 × 65991

Now multiplying the highest exponent prime factors to calculate the LCM of 46188 and 46193.

LCM(46188,46193) = 22 × 32 × 12831 × 71 × 65991
LCM(46188,46193) = 2133562284