What is the Least Common Multiple of 16782 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 16782 and 16795 is 281853690.
LCM(16782,16795) = 281853690
Least Common Multiple of 16782 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 16782 and 16795, than apply into the LCM equation.
GCF(16782,16795) = 1
LCM(16782,16795) = ( 16782 × 16795) / 1
LCM(16782,16795) = 281853690 / 1
LCM(16782,16795) = 281853690
Least Common Multiple (LCM) of 16782 and 16795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16782 and 16795. First we will calculate the prime factors of 16782 and 16795.
Prime Factorization of 16782
Prime factors of 16782 are 2, 3, 2797. Prime factorization of 16782 in exponential form is:
16782 = 21 × 31 × 27971
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 16782 and 16795.
LCM(16782,16795) = 21 × 31 × 27971 × 51 × 33591
LCM(16782,16795) = 281853690
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