What is the Least Common Multiple of 11426 and 11439?
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 11426 and 11439 is 130702014.
LCM(11426,11439) = 130702014
Least Common Multiple of 11426 and 11439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11426 and 11439, than apply into the LCM equation.
GCF(11426,11439) = 1
LCM(11426,11439) = ( 11426 × 11439) / 1
LCM(11426,11439) = 130702014 / 1
LCM(11426,11439) = 130702014
Least Common Multiple (LCM) of 11426 and 11439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11426 and 11439. First we will calculate the prime factors of 11426 and 11439.
Prime Factorization of 11426
Prime factors of 11426 are 2, 29, 197. Prime factorization of 11426 in exponential form is:
11426 = 21 × 291 × 1971
Prime Factorization of 11439
Prime factors of 11439 are 3, 31, 41. Prime factorization of 11439 in exponential form is:
11439 = 32 × 311 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 11426 and 11439.
LCM(11426,11439) = 21 × 291 × 1971 × 32 × 311 × 411
LCM(11426,11439) = 130702014
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