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What is the Least Common Multiple of 81623 and 81629?

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 81623 and 81629 is 6662803867.

LCM(81623,81629) = 6662803867

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Least Common Multiple of 81623 and 81629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81623 and 81629, than apply into the LCM equation.

GCF(81623,81629) = 1
LCM(81623,81629) = ( 81623 × 81629) / 1
LCM(81623,81629) = 6662803867 / 1
LCM(81623,81629) = 6662803867

Least Common Multiple (LCM) of 81623 and 81629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81623 and 81629. First we will calculate the prime factors of 81623 and 81629.

Prime Factorization of 81623

Prime factors of 81623 are 31, 2633. Prime factorization of 81623 in exponential form is:

81623 = 311 × 26331

Prime Factorization of 81629

Prime factors of 81629 are 81629. Prime factorization of 81629 in exponential form is:

81629 = 816291

Now multiplying the highest exponent prime factors to calculate the LCM of 81623 and 81629.

LCM(81623,81629) = 311 × 26331 × 816291
LCM(81623,81629) = 6662803867