What is the Least Common Multiple of 8539 and 8556?
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 8539 and 8556 is 73059684.
LCM(8539,8556) = 73059684
Least Common Multiple of 8539 and 8556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8539 and 8556, than apply into the LCM equation.
GCF(8539,8556) = 1
LCM(8539,8556) = ( 8539 × 8556) / 1
LCM(8539,8556) = 73059684 / 1
LCM(8539,8556) = 73059684
Least Common Multiple (LCM) of 8539 and 8556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8539 and 8556. First we will calculate the prime factors of 8539 and 8556.
Prime Factorization of 8539
Prime factors of 8539 are 8539. Prime factorization of 8539 in exponential form is:
8539 = 85391
Prime Factorization of 8556
Prime factors of 8556 are 2, 3, 23, 31. Prime factorization of 8556 in exponential form is:
8556 = 22 × 31 × 231 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 8539 and 8556.
LCM(8539,8556) = 85391 × 22 × 31 × 231 × 311
LCM(8539,8556) = 73059684
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