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What is the Least Common Multiple of 81639 and 81644?

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 81639 and 81644 is 6665334516.

LCM(81639,81644) = 6665334516

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Least Common Multiple of 81639 and 81644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81639 and 81644, than apply into the LCM equation.

GCF(81639,81644) = 1
LCM(81639,81644) = ( 81639 × 81644) / 1
LCM(81639,81644) = 6665334516 / 1
LCM(81639,81644) = 6665334516

Least Common Multiple (LCM) of 81639 and 81644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81639 and 81644. First we will calculate the prime factors of 81639 and 81644.

Prime Factorization of 81639

Prime factors of 81639 are 3, 47, 193. Prime factorization of 81639 in exponential form is:

81639 = 32 × 471 × 1931

Prime Factorization of 81644

Prime factors of 81644 are 2, 20411. Prime factorization of 81644 in exponential form is:

81644 = 22 × 204111

Now multiplying the highest exponent prime factors to calculate the LCM of 81639 and 81644.

LCM(81639,81644) = 32 × 471 × 1931 × 22 × 204111
LCM(81639,81644) = 6665334516