What is the Least Common Multiple of 11151 and 11165?
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 11151 and 11165 is 17785845.
LCM(11151,11165) = 17785845
Least Common Multiple of 11151 and 11165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11151 and 11165, than apply into the LCM equation.
GCF(11151,11165) = 7
LCM(11151,11165) = ( 11151 × 11165) / 7
LCM(11151,11165) = 124500915 / 7
LCM(11151,11165) = 17785845
Least Common Multiple (LCM) of 11151 and 11165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11151 and 11165. First we will calculate the prime factors of 11151 and 11165.
Prime Factorization of 11151
Prime factors of 11151 are 3, 7, 59. Prime factorization of 11151 in exponential form is:
11151 = 33 × 71 × 591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 11151 and 11165.
LCM(11151,11165) = 33 × 71 × 591 × 51 × 111 × 291
LCM(11151,11165) = 17785845
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