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What is the Least Common Multiple of 46051 and 46063?

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 46051 and 46063 is 2121247213.

LCM(46051,46063) = 2121247213

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Least Common Multiple of 46051 and 46063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46051 and 46063, than apply into the LCM equation.

GCF(46051,46063) = 1
LCM(46051,46063) = ( 46051 × 46063) / 1
LCM(46051,46063) = 2121247213 / 1
LCM(46051,46063) = 2121247213

Least Common Multiple (LCM) of 46051 and 46063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46051 and 46063. First we will calculate the prime factors of 46051 and 46063.

Prime Factorization of 46051

Prime factors of 46051 are 46051. Prime factorization of 46051 in exponential form is:

46051 = 460511

Prime Factorization of 46063

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

46063 = 731 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 46051 and 46063.

LCM(46051,46063) = 460511 × 731 × 6311
LCM(46051,46063) = 2121247213