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What is the Least Common Multiple of 8542 and 8559?

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 8542 and 8559 is 73110978.

LCM(8542,8559) = 73110978

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Least Common Multiple of 8542 and 8559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8542 and 8559, than apply into the LCM equation.

GCF(8542,8559) = 1
LCM(8542,8559) = ( 8542 × 8559) / 1
LCM(8542,8559) = 73110978 / 1
LCM(8542,8559) = 73110978

Least Common Multiple (LCM) of 8542 and 8559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8542 and 8559. First we will calculate the prime factors of 8542 and 8559.

Prime Factorization of 8542

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

8542 = 21 × 42711

Prime Factorization of 8559

Prime factors of 8559 are 3, 317. Prime factorization of 8559 in exponential form is:

8559 = 33 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 8542 and 8559.

LCM(8542,8559) = 21 × 42711 × 33 × 3171
LCM(8542,8559) = 73110978