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What is the Least Common Multiple of 81527 and 81531?

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 81527 and 81531 is 6646977837.

LCM(81527,81531) = 6646977837

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Least Common Multiple of 81527 and 81531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81527 and 81531, than apply into the LCM equation.

GCF(81527,81531) = 1
LCM(81527,81531) = ( 81527 × 81531) / 1
LCM(81527,81531) = 6646977837 / 1
LCM(81527,81531) = 6646977837

Least Common Multiple (LCM) of 81527 and 81531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81527 and 81531. First we will calculate the prime factors of 81527 and 81531.

Prime Factorization of 81527

Prime factors of 81527 are 81527. Prime factorization of 81527 in exponential form is:

81527 = 815271

Prime Factorization of 81531

Prime factors of 81531 are 3, 9059. Prime factorization of 81531 in exponential form is:

81531 = 32 × 90591

Now multiplying the highest exponent prime factors to calculate the LCM of 81527 and 81531.

LCM(81527,81531) = 815271 × 32 × 90591
LCM(81527,81531) = 6646977837