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What is the Least Common Multiple of 46263 and 46275?

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 46263 and 46275 is 713606775.

LCM(46263,46275) = 713606775

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Least Common Multiple of 46263 and 46275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46263 and 46275, than apply into the LCM equation.

GCF(46263,46275) = 3
LCM(46263,46275) = ( 46263 × 46275) / 3
LCM(46263,46275) = 2140820325 / 3
LCM(46263,46275) = 713606775

Least Common Multiple (LCM) of 46263 and 46275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46263 and 46275. First we will calculate the prime factors of 46263 and 46275.

Prime Factorization of 46263

Prime factors of 46263 are 3, 7, 2203. Prime factorization of 46263 in exponential form is:

46263 = 31 × 71 × 22031

Prime Factorization of 46275

Prime factors of 46275 are 3, 5, 617. Prime factorization of 46275 in exponential form is:

46275 = 31 × 52 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 46263 and 46275.

LCM(46263,46275) = 31 × 71 × 22031 × 52 × 6171
LCM(46263,46275) = 713606775