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What is the Least Common Multiple of 46132 and 46139?

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 46132 and 46139 is 2128484348.

LCM(46132,46139) = 2128484348

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Least Common Multiple of 46132 and 46139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46132 and 46139, than apply into the LCM equation.

GCF(46132,46139) = 1
LCM(46132,46139) = ( 46132 × 46139) / 1
LCM(46132,46139) = 2128484348 / 1
LCM(46132,46139) = 2128484348

Least Common Multiple (LCM) of 46132 and 46139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46132 and 46139. First we will calculate the prime factors of 46132 and 46139.

Prime Factorization of 46132

Prime factors of 46132 are 2, 19, 607. Prime factorization of 46132 in exponential form is:

46132 = 22 × 191 × 6071

Prime Factorization of 46139

Prime factors of 46139 are 29, 37, 43. Prime factorization of 46139 in exponential form is:

46139 = 291 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 46132 and 46139.

LCM(46132,46139) = 22 × 191 × 6071 × 291 × 371 × 431
LCM(46132,46139) = 2128484348