What is the Least Common Multiple of 8508 and 8512?
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 8508 and 8512 is 18105024.
LCM(8508,8512) = 18105024
Least Common Multiple of 8508 and 8512 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8508 and 8512, than apply into the LCM equation.
GCF(8508,8512) = 4
LCM(8508,8512) = ( 8508 × 8512) / 4
LCM(8508,8512) = 72420096 / 4
LCM(8508,8512) = 18105024
Least Common Multiple (LCM) of 8508 and 8512 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8508 and 8512. First we will calculate the prime factors of 8508 and 8512.
Prime Factorization of 8508
Prime factors of 8508 are 2, 3, 709. Prime factorization of 8508 in exponential form is:
8508 = 22 × 31 × 7091
Prime Factorization of 8512
Prime factors of 8512 are 2, 7, 19. Prime factorization of 8512 in exponential form is:
8512 = 26 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 8508 and 8512.
LCM(8508,8512) = 26 × 31 × 7091 × 71 × 191
LCM(8508,8512) = 18105024
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