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What is the Least Common Multiple of 81671 and 81677?

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 81671 and 81677 is 6670642267.

LCM(81671,81677) = 6670642267

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Least Common Multiple of 81671 and 81677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81671 and 81677, than apply into the LCM equation.

GCF(81671,81677) = 1
LCM(81671,81677) = ( 81671 × 81677) / 1
LCM(81671,81677) = 6670642267 / 1
LCM(81671,81677) = 6670642267

Least Common Multiple (LCM) of 81671 and 81677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81671 and 81677. First we will calculate the prime factors of 81671 and 81677.

Prime Factorization of 81671

Prime factors of 81671 are 81671. Prime factorization of 81671 in exponential form is:

81671 = 816711

Prime Factorization of 81677

Prime factors of 81677 are 81677. Prime factorization of 81677 in exponential form is:

81677 = 816771

Now multiplying the highest exponent prime factors to calculate the LCM of 81671 and 81677.

LCM(81671,81677) = 816711 × 816771
LCM(81671,81677) = 6670642267