What is the Least Common Multiple of 8533 and 8546?
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 8533 and 8546 is 72923018.
LCM(8533,8546) = 72923018
Least Common Multiple of 8533 and 8546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8533 and 8546, than apply into the LCM equation.
GCF(8533,8546) = 1
LCM(8533,8546) = ( 8533 × 8546) / 1
LCM(8533,8546) = 72923018 / 1
LCM(8533,8546) = 72923018
Least Common Multiple (LCM) of 8533 and 8546 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8533 and 8546. First we will calculate the prime factors of 8533 and 8546.
Prime Factorization of 8533
Prime factors of 8533 are 7, 23, 53. Prime factorization of 8533 in exponential form is:
8533 = 71 × 231 × 531
Prime Factorization of 8546
Prime factors of 8546 are 2, 4273. Prime factorization of 8546 in exponential form is:
8546 = 21 × 42731
Now multiplying the highest exponent prime factors to calculate the LCM of 8533 and 8546.
LCM(8533,8546) = 71 × 231 × 531 × 21 × 42731
LCM(8533,8546) = 72923018
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