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What is the Least Common Multiple of 81521 and 81535?

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 81521 and 81535 is 6646814735.

LCM(81521,81535) = 6646814735

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Least Common Multiple of 81521 and 81535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81521 and 81535, than apply into the LCM equation.

GCF(81521,81535) = 1
LCM(81521,81535) = ( 81521 × 81535) / 1
LCM(81521,81535) = 6646814735 / 1
LCM(81521,81535) = 6646814735

Least Common Multiple (LCM) of 81521 and 81535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81521 and 81535. First we will calculate the prime factors of 81521 and 81535.

Prime Factorization of 81521

Prime factors of 81521 are 11, 7411. Prime factorization of 81521 in exponential form is:

81521 = 111 × 74111

Prime Factorization of 81535

Prime factors of 81535 are 5, 23, 709. Prime factorization of 81535 in exponential form is:

81535 = 51 × 231 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 81521 and 81535.

LCM(81521,81535) = 111 × 74111 × 51 × 231 × 7091
LCM(81521,81535) = 6646814735