What is the Least Common Multiple of 16885 and 16893?
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 16885 and 16893 is 285238305.
LCM(16885,16893) = 285238305
Least Common Multiple of 16885 and 16893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16885 and 16893, than apply into the LCM equation.
GCF(16885,16893) = 1
LCM(16885,16893) = ( 16885 × 16893) / 1
LCM(16885,16893) = 285238305 / 1
LCM(16885,16893) = 285238305
Least Common Multiple (LCM) of 16885 and 16893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16885 and 16893. First we will calculate the prime factors of 16885 and 16893.
Prime Factorization of 16885
Prime factors of 16885 are 5, 11, 307. Prime factorization of 16885 in exponential form is:
16885 = 51 × 111 × 3071
Prime Factorization of 16893
Prime factors of 16893 are 3, 1877. Prime factorization of 16893 in exponential form is:
16893 = 32 × 18771
Now multiplying the highest exponent prime factors to calculate the LCM of 16885 and 16893.
LCM(16885,16893) = 51 × 111 × 3071 × 32 × 18771
LCM(16885,16893) = 285238305
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