What is the Least Common Multiple of 8487 and 8496?
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 8487 and 8496 is 8011728.
LCM(8487,8496) = 8011728
Least Common Multiple of 8487 and 8496 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8487 and 8496, than apply into the LCM equation.
GCF(8487,8496) = 9
LCM(8487,8496) = ( 8487 × 8496) / 9
LCM(8487,8496) = 72105552 / 9
LCM(8487,8496) = 8011728
Least Common Multiple (LCM) of 8487 and 8496 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8487 and 8496. First we will calculate the prime factors of 8487 and 8496.
Prime Factorization of 8487
Prime factors of 8487 are 3, 23, 41. Prime factorization of 8487 in exponential form is:
8487 = 32 × 231 × 411
Prime Factorization of 8496
Prime factors of 8496 are 2, 3, 59. Prime factorization of 8496 in exponential form is:
8496 = 24 × 32 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 8487 and 8496.
LCM(8487,8496) = 32 × 231 × 411 × 24 × 591
LCM(8487,8496) = 8011728
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