What is the Least Common Multiple of 8544 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 8544 and 8555 is 73093920.
LCM(8544,8555) = 73093920
Least Common Multiple of 8544 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 8544 and 8555, than apply into the LCM equation.
GCF(8544,8555) = 1
LCM(8544,8555) = ( 8544 × 8555) / 1
LCM(8544,8555) = 73093920 / 1
LCM(8544,8555) = 73093920
Least Common Multiple (LCM) of 8544 and 8555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8544 and 8555. First we will calculate the prime factors of 8544 and 8555.
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 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 8544 and 8555.
LCM(8544,8555) = 25 × 31 × 891 × 51 × 291 × 591
LCM(8544,8555) = 73093920
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