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What is the Least Common Multiple of 81527 and 81533?

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 81533 is 6647140891.

LCM(81527,81533) = 6647140891

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Least Common Multiple of 81527 and 81533 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 81533, than apply into the LCM equation.

GCF(81527,81533) = 1
LCM(81527,81533) = ( 81527 × 81533) / 1
LCM(81527,81533) = 6647140891 / 1
LCM(81527,81533) = 6647140891

Least Common Multiple (LCM) of 81527 and 81533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81527 and 81533. First we will calculate the prime factors of 81527 and 81533.

Prime Factorization of 81527

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

81527 = 815271

Prime Factorization of 81533

Prime factors of 81533 are 81533. Prime factorization of 81533 in exponential form is:

81533 = 815331

Now multiplying the highest exponent prime factors to calculate the LCM of 81527 and 81533.

LCM(81527,81533) = 815271 × 815331
LCM(81527,81533) = 6647140891