What is the Least Common Multiple of 11668 and 11686?
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 11668 and 11686 is 68176124.
LCM(11668,11686) = 68176124
Least Common Multiple of 11668 and 11686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11668 and 11686, than apply into the LCM equation.
GCF(11668,11686) = 2
LCM(11668,11686) = ( 11668 × 11686) / 2
LCM(11668,11686) = 136352248 / 2
LCM(11668,11686) = 68176124
Least Common Multiple (LCM) of 11668 and 11686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11668 and 11686. First we will calculate the prime factors of 11668 and 11686.
Prime Factorization of 11668
Prime factors of 11668 are 2, 2917. Prime factorization of 11668 in exponential form is:
11668 = 22 × 29171
Prime Factorization of 11686
Prime factors of 11686 are 2, 5843. Prime factorization of 11686 in exponential form is:
11686 = 21 × 58431
Now multiplying the highest exponent prime factors to calculate the LCM of 11668 and 11686.
LCM(11668,11686) = 22 × 29171 × 58431
LCM(11668,11686) = 68176124
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