What is the Least Common Multiple of 16613 and 16625?
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 16613 and 16625 is 276191125.
LCM(16613,16625) = 276191125
Least Common Multiple of 16613 and 16625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16613 and 16625, than apply into the LCM equation.
GCF(16613,16625) = 1
LCM(16613,16625) = ( 16613 × 16625) / 1
LCM(16613,16625) = 276191125 / 1
LCM(16613,16625) = 276191125
Least Common Multiple (LCM) of 16613 and 16625 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16613 and 16625. First we will calculate the prime factors of 16613 and 16625.
Prime Factorization of 16613
Prime factors of 16613 are 37, 449. Prime factorization of 16613 in exponential form is:
16613 = 371 × 4491
Prime Factorization of 16625
Prime factors of 16625 are 5, 7, 19. Prime factorization of 16625 in exponential form is:
16625 = 53 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 16613 and 16625.
LCM(16613,16625) = 371 × 4491 × 53 × 71 × 191
LCM(16613,16625) = 276191125
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