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What is the Least Common Multiple of 46771 and 46781?

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 46771 and 46781 is 2187994151.

LCM(46771,46781) = 2187994151

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Least Common Multiple of 46771 and 46781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46771 and 46781, than apply into the LCM equation.

GCF(46771,46781) = 1
LCM(46771,46781) = ( 46771 × 46781) / 1
LCM(46771,46781) = 2187994151 / 1
LCM(46771,46781) = 2187994151

Least Common Multiple (LCM) of 46771 and 46781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46771 and 46781. First we will calculate the prime factors of 46771 and 46781.

Prime Factorization of 46771

Prime factors of 46771 are 46771. Prime factorization of 46771 in exponential form is:

46771 = 467711

Prime Factorization of 46781

Prime factors of 46781 are 7, 41, 163. Prime factorization of 46781 in exponential form is:

46781 = 71 × 411 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 46771 and 46781.

LCM(46771,46781) = 467711 × 71 × 411 × 1631
LCM(46771,46781) = 2187994151