What is the Least Common Multiple of 17698 and 17716?
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 17698 and 17716 is 156768884.
LCM(17698,17716) = 156768884
Least Common Multiple of 17698 and 17716 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17698 and 17716, than apply into the LCM equation.
GCF(17698,17716) = 2
LCM(17698,17716) = ( 17698 × 17716) / 2
LCM(17698,17716) = 313537768 / 2
LCM(17698,17716) = 156768884
Least Common Multiple (LCM) of 17698 and 17716 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17698 and 17716. First we will calculate the prime factors of 17698 and 17716.
Prime Factorization of 17698
Prime factors of 17698 are 2, 8849. Prime factorization of 17698 in exponential form is:
17698 = 21 × 88491
Prime Factorization of 17716
Prime factors of 17716 are 2, 43, 103. Prime factorization of 17716 in exponential form is:
17716 = 22 × 431 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 17698 and 17716.
LCM(17698,17716) = 22 × 88491 × 431 × 1031
LCM(17698,17716) = 156768884
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