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What is the Least Common Multiple of 46063 and 46082?

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 46063 and 46082 is 2122675166.

LCM(46063,46082) = 2122675166

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Least Common Multiple of 46063 and 46082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46063 and 46082, than apply into the LCM equation.

GCF(46063,46082) = 1
LCM(46063,46082) = ( 46063 × 46082) / 1
LCM(46063,46082) = 2122675166 / 1
LCM(46063,46082) = 2122675166

Least Common Multiple (LCM) of 46063 and 46082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46063 and 46082. First we will calculate the prime factors of 46063 and 46082.

Prime Factorization of 46063

Prime factors of 46063 are 73, 631. Prime factorization of 46063 in exponential form is:

46063 = 731 × 6311

Prime Factorization of 46082

Prime factors of 46082 are 2, 23041. Prime factorization of 46082 in exponential form is:

46082 = 21 × 230411

Now multiplying the highest exponent prime factors to calculate the LCM of 46063 and 46082.

LCM(46063,46082) = 731 × 6311 × 21 × 230411
LCM(46063,46082) = 2122675166