What is the Least Common Multiple of 8512 and 8524?
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 8512 and 8524 is 18139072.
LCM(8512,8524) = 18139072
Least Common Multiple of 8512 and 8524 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8512 and 8524, than apply into the LCM equation.
GCF(8512,8524) = 4
LCM(8512,8524) = ( 8512 × 8524) / 4
LCM(8512,8524) = 72556288 / 4
LCM(8512,8524) = 18139072
Least Common Multiple (LCM) of 8512 and 8524 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8512 and 8524. First we will calculate the prime factors of 8512 and 8524.
Prime Factorization of 8512
Prime factors of 8512 are 2, 7, 19. Prime factorization of 8512 in exponential form is:
8512 = 26 × 71 × 191
Prime Factorization of 8524
Prime factors of 8524 are 2, 2131. Prime factorization of 8524 in exponential form is:
8524 = 22 × 21311
Now multiplying the highest exponent prime factors to calculate the LCM of 8512 and 8524.
LCM(8512,8524) = 26 × 71 × 191 × 21311
LCM(8512,8524) = 18139072
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