What is the Least Common Multiple of 11281 and 11285?
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 11281 and 11285 is 127306085.
LCM(11281,11285) = 127306085
Least Common Multiple of 11281 and 11285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11281 and 11285, than apply into the LCM equation.
GCF(11281,11285) = 1
LCM(11281,11285) = ( 11281 × 11285) / 1
LCM(11281,11285) = 127306085 / 1
LCM(11281,11285) = 127306085
Least Common Multiple (LCM) of 11281 and 11285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11281 and 11285. First we will calculate the prime factors of 11281 and 11285.
Prime Factorization of 11281
Prime factors of 11281 are 29, 389. Prime factorization of 11281 in exponential form is:
11281 = 291 × 3891
Prime Factorization of 11285
Prime factors of 11285 are 5, 37, 61. Prime factorization of 11285 in exponential form is:
11285 = 51 × 371 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 11281 and 11285.
LCM(11281,11285) = 291 × 3891 × 51 × 371 × 611
LCM(11281,11285) = 127306085
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