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What is the Least Common Multiple of 8535 and 8542?

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 8535 and 8542 is 72905970.

LCM(8535,8542) = 72905970

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Least Common Multiple of 8535 and 8542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8535 and 8542, than apply into the LCM equation.

GCF(8535,8542) = 1
LCM(8535,8542) = ( 8535 × 8542) / 1
LCM(8535,8542) = 72905970 / 1
LCM(8535,8542) = 72905970

Least Common Multiple (LCM) of 8535 and 8542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8535 and 8542. First we will calculate the prime factors of 8535 and 8542.

Prime Factorization of 8535

Prime factors of 8535 are 3, 5, 569. Prime factorization of 8535 in exponential form is:

8535 = 31 × 51 × 5691

Prime Factorization of 8542

Prime factors of 8542 are 2, 4271. Prime factorization of 8542 in exponential form is:

8542 = 21 × 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 8535 and 8542.

LCM(8535,8542) = 31 × 51 × 5691 × 21 × 42711
LCM(8535,8542) = 72905970