What is the Least Common Multiple of 16791 and 16795?
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 16791 and 16795 is 282004845.
LCM(16791,16795) = 282004845
Least Common Multiple of 16791 and 16795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16791 and 16795, than apply into the LCM equation.
GCF(16791,16795) = 1
LCM(16791,16795) = ( 16791 × 16795) / 1
LCM(16791,16795) = 282004845 / 1
LCM(16791,16795) = 282004845
Least Common Multiple (LCM) of 16791 and 16795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16791 and 16795. First we will calculate the prime factors of 16791 and 16795.
Prime Factorization of 16791
Prime factors of 16791 are 3, 29, 193. Prime factorization of 16791 in exponential form is:
16791 = 31 × 291 × 1931
Prime Factorization of 16795
Prime factors of 16795 are 5, 3359. Prime factorization of 16795 in exponential form is:
16795 = 51 × 33591
Now multiplying the highest exponent prime factors to calculate the LCM of 16791 and 16795.
LCM(16791,16795) = 31 × 291 × 1931 × 51 × 33591
LCM(16791,16795) = 282004845
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