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What is the Least Common Multiple of 46333 and 46351?

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 46333 and 46351 is 2147580883.

LCM(46333,46351) = 2147580883

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Least Common Multiple of 46333 and 46351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46333 and 46351, than apply into the LCM equation.

GCF(46333,46351) = 1
LCM(46333,46351) = ( 46333 × 46351) / 1
LCM(46333,46351) = 2147580883 / 1
LCM(46333,46351) = 2147580883

Least Common Multiple (LCM) of 46333 and 46351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46333 and 46351. First we will calculate the prime factors of 46333 and 46351.

Prime Factorization of 46333

Prime factors of 46333 are 7, 6619. Prime factorization of 46333 in exponential form is:

46333 = 71 × 66191

Prime Factorization of 46351

Prime factors of 46351 are 46351. Prime factorization of 46351 in exponential form is:

46351 = 463511

Now multiplying the highest exponent prime factors to calculate the LCM of 46333 and 46351.

LCM(46333,46351) = 71 × 66191 × 463511
LCM(46333,46351) = 2147580883