What is the Least Common Multiple of 6498 and 6511?
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 6498 and 6511 is 42308478.
LCM(6498,6511) = 42308478
Least Common Multiple of 6498 and 6511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6498 and 6511, than apply into the LCM equation.
GCF(6498,6511) = 1
LCM(6498,6511) = ( 6498 × 6511) / 1
LCM(6498,6511) = 42308478 / 1
LCM(6498,6511) = 42308478
Least Common Multiple (LCM) of 6498 and 6511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6498 and 6511. First we will calculate the prime factors of 6498 and 6511.
Prime Factorization of 6498
Prime factors of 6498 are 2, 3, 19. Prime factorization of 6498 in exponential form is:
6498 = 21 × 32 × 192
Prime Factorization of 6511
Prime factors of 6511 are 17, 383. Prime factorization of 6511 in exponential form is:
6511 = 171 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 6498 and 6511.
LCM(6498,6511) = 21 × 32 × 192 × 171 × 3831
LCM(6498,6511) = 42308478
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