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What is the Least Common Multiple of 81661 and 81676?

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 81661 and 81676 is 6669743836.

LCM(81661,81676) = 6669743836

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Least Common Multiple of 81661 and 81676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81661 and 81676, than apply into the LCM equation.

GCF(81661,81676) = 1
LCM(81661,81676) = ( 81661 × 81676) / 1
LCM(81661,81676) = 6669743836 / 1
LCM(81661,81676) = 6669743836

Least Common Multiple (LCM) of 81661 and 81676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81661 and 81676. First we will calculate the prime factors of 81661 and 81676.

Prime Factorization of 81661

Prime factors of 81661 are 127, 643. Prime factorization of 81661 in exponential form is:

81661 = 1271 × 6431

Prime Factorization of 81676

Prime factors of 81676 are 2, 7, 2917. Prime factorization of 81676 in exponential form is:

81676 = 22 × 71 × 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 81661 and 81676.

LCM(81661,81676) = 1271 × 6431 × 22 × 71 × 29171
LCM(81661,81676) = 6669743836