What is the Least Common Multiple of 8544 and 8549?
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 8544 and 8549 is 73042656.
LCM(8544,8549) = 73042656
Least Common Multiple of 8544 and 8549 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8544 and 8549, than apply into the LCM equation.
GCF(8544,8549) = 1
LCM(8544,8549) = ( 8544 × 8549) / 1
LCM(8544,8549) = 73042656 / 1
LCM(8544,8549) = 73042656
Least Common Multiple (LCM) of 8544 and 8549 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8544 and 8549. First we will calculate the prime factors of 8544 and 8549.
Prime Factorization of 8544
Prime factors of 8544 are 2, 3, 89. Prime factorization of 8544 in exponential form is:
8544 = 25 × 31 × 891
Prime Factorization of 8549
Prime factors of 8549 are 83, 103. Prime factorization of 8549 in exponential form is:
8549 = 831 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 8544 and 8549.
LCM(8544,8549) = 25 × 31 × 891 × 831 × 1031
LCM(8544,8549) = 73042656
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