What is the Least Common Multiple of 11165 and 11174?
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 11165 and 11174 is 124757710.
LCM(11165,11174) = 124757710
Least Common Multiple of 11165 and 11174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11165 and 11174, than apply into the LCM equation.
GCF(11165,11174) = 1
LCM(11165,11174) = ( 11165 × 11174) / 1
LCM(11165,11174) = 124757710 / 1
LCM(11165,11174) = 124757710
Least Common Multiple (LCM) of 11165 and 11174 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11165 and 11174. First we will calculate the prime factors of 11165 and 11174.
Prime Factorization of 11165
Prime factors of 11165 are 5, 7, 11, 29. Prime factorization of 11165 in exponential form is:
11165 = 51 × 71 × 111 × 291
Prime Factorization of 11174
Prime factors of 11174 are 2, 37, 151. Prime factorization of 11174 in exponential form is:
11174 = 21 × 371 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 11165 and 11174.
LCM(11165,11174) = 51 × 71 × 111 × 291 × 21 × 371 × 1511
LCM(11165,11174) = 124757710
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