What is the Least Common Multiple of 10789 and 10794?
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 10789 and 10794 is 116456466.
LCM(10789,10794) = 116456466
Least Common Multiple of 10789 and 10794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10789 and 10794, than apply into the LCM equation.
GCF(10789,10794) = 1
LCM(10789,10794) = ( 10789 × 10794) / 1
LCM(10789,10794) = 116456466 / 1
LCM(10789,10794) = 116456466
Least Common Multiple (LCM) of 10789 and 10794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10789 and 10794. First we will calculate the prime factors of 10789 and 10794.
Prime Factorization of 10789
Prime factors of 10789 are 10789. Prime factorization of 10789 in exponential form is:
10789 = 107891
Prime Factorization of 10794
Prime factors of 10794 are 2, 3, 7, 257. Prime factorization of 10794 in exponential form is:
10794 = 21 × 31 × 71 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 10789 and 10794.
LCM(10789,10794) = 107891 × 21 × 31 × 71 × 2571
LCM(10789,10794) = 116456466
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