What is the Least Common Multiple of 11281 and 11301?
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 11301 is 127486581.
LCM(11281,11301) = 127486581
Least Common Multiple of 11281 and 11301 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 11301, than apply into the LCM equation.
GCF(11281,11301) = 1
LCM(11281,11301) = ( 11281 × 11301) / 1
LCM(11281,11301) = 127486581 / 1
LCM(11281,11301) = 127486581
Least Common Multiple (LCM) of 11281 and 11301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11281 and 11301. First we will calculate the prime factors of 11281 and 11301.
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 11301
Prime factors of 11301 are 3, 3767. Prime factorization of 11301 in exponential form is:
11301 = 31 × 37671
Now multiplying the highest exponent prime factors to calculate the LCM of 11281 and 11301.
LCM(11281,11301) = 291 × 3891 × 31 × 37671
LCM(11281,11301) = 127486581
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