What is the Least Common Multiple of 15682 and 15686?
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 15682 and 15686 is 122993926.
LCM(15682,15686) = 122993926
Least Common Multiple of 15682 and 15686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15682 and 15686, than apply into the LCM equation.
GCF(15682,15686) = 2
LCM(15682,15686) = ( 15682 × 15686) / 2
LCM(15682,15686) = 245987852 / 2
LCM(15682,15686) = 122993926
Least Common Multiple (LCM) of 15682 and 15686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15682 and 15686. First we will calculate the prime factors of 15682 and 15686.
Prime Factorization of 15682
Prime factors of 15682 are 2, 7841. Prime factorization of 15682 in exponential form is:
15682 = 21 × 78411
Prime Factorization of 15686
Prime factors of 15686 are 2, 11, 23, 31. Prime factorization of 15686 in exponential form is:
15686 = 21 × 111 × 231 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 15682 and 15686.
LCM(15682,15686) = 21 × 78411 × 111 × 231 × 311
LCM(15682,15686) = 122993926
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