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What is the Least Common Multiple of 46333 and 46346?

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 46346 is 2147349218.

LCM(46333,46346) = 2147349218

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Least Common Multiple of 46333 and 46346 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 46346, than apply into the LCM equation.

GCF(46333,46346) = 1
LCM(46333,46346) = ( 46333 × 46346) / 1
LCM(46333,46346) = 2147349218 / 1
LCM(46333,46346) = 2147349218

Least Common Multiple (LCM) of 46333 and 46346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46333 and 46346. First we will calculate the prime factors of 46333 and 46346.

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 46346

Prime factors of 46346 are 2, 23173. Prime factorization of 46346 in exponential form is:

46346 = 21 × 231731

Now multiplying the highest exponent prime factors to calculate the LCM of 46333 and 46346.

LCM(46333,46346) = 71 × 66191 × 21 × 231731
LCM(46333,46346) = 2147349218