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What is the Least Common Multiple of 81527 and 81542?

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 81542 is 6647874634.

LCM(81527,81542) = 6647874634

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Least Common Multiple of 81527 and 81542 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 81542, than apply into the LCM equation.

GCF(81527,81542) = 1
LCM(81527,81542) = ( 81527 × 81542) / 1
LCM(81527,81542) = 6647874634 / 1
LCM(81527,81542) = 6647874634

Least Common Multiple (LCM) of 81527 and 81542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81527 and 81542. First we will calculate the prime factors of 81527 and 81542.

Prime Factorization of 81527

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

81527 = 815271

Prime Factorization of 81542

Prime factors of 81542 are 2, 40771. Prime factorization of 81542 in exponential form is:

81542 = 21 × 407711

Now multiplying the highest exponent prime factors to calculate the LCM of 81527 and 81542.

LCM(81527,81542) = 815271 × 21 × 407711
LCM(81527,81542) = 6647874634