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What is the Least Common Multiple of 46819 and 46823?

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 46819 and 46823 is 2192206037.

LCM(46819,46823) = 2192206037

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Least Common Multiple of 46819 and 46823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46819 and 46823, than apply into the LCM equation.

GCF(46819,46823) = 1
LCM(46819,46823) = ( 46819 × 46823) / 1
LCM(46819,46823) = 2192206037 / 1
LCM(46819,46823) = 2192206037

Least Common Multiple (LCM) of 46819 and 46823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46819 and 46823. First we will calculate the prime factors of 46819 and 46823.

Prime Factorization of 46819

Prime factors of 46819 are 46819. Prime factorization of 46819 in exponential form is:

46819 = 468191

Prime Factorization of 46823

Prime factors of 46823 are 7, 6689. Prime factorization of 46823 in exponential form is:

46823 = 71 × 66891

Now multiplying the highest exponent prime factors to calculate the LCM of 46819 and 46823.

LCM(46819,46823) = 468191 × 71 × 66891
LCM(46819,46823) = 2192206037