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What is the Least Common Multiple of 81611 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 81611 and 81629 is 6661824319.

LCM(81611,81629) = 6661824319

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Least Common Multiple of 81611 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 81611 and 81629, than apply into the LCM equation.

GCF(81611,81629) = 1
LCM(81611,81629) = ( 81611 × 81629) / 1
LCM(81611,81629) = 6661824319 / 1
LCM(81611,81629) = 6661824319

Least Common Multiple (LCM) of 81611 and 81629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81611 and 81629. First we will calculate the prime factors of 81611 and 81629.

Prime Factorization of 81611

Prime factors of 81611 are 81611. Prime factorization of 81611 in exponential form is:

81611 = 816111

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 81611 and 81629.

LCM(81611,81629) = 816111 × 816291
LCM(81611,81629) = 6661824319