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What is the Least Common Multiple of 8542 and 8555?

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 8555 is 73076810.

LCM(8542,8555) = 73076810

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Least Common Multiple of 8542 and 8555 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 8555, than apply into the LCM equation.

GCF(8542,8555) = 1
LCM(8542,8555) = ( 8542 × 8555) / 1
LCM(8542,8555) = 73076810 / 1
LCM(8542,8555) = 73076810

Least Common Multiple (LCM) of 8542 and 8555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8542 and 8555. First we will calculate the prime factors of 8542 and 8555.

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 8555

Prime factors of 8555 are 5, 29, 59. Prime factorization of 8555 in exponential form is:

8555 = 51 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8542 and 8555.

LCM(8542,8555) = 21 × 42711 × 51 × 291 × 591
LCM(8542,8555) = 73076810