What is the Least Common Multiple of 11283 and 11287?
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 11283 and 11287 is 127351221.
LCM(11283,11287) = 127351221
Least Common Multiple of 11283 and 11287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11283 and 11287, than apply into the LCM equation.
GCF(11283,11287) = 1
LCM(11283,11287) = ( 11283 × 11287) / 1
LCM(11283,11287) = 127351221 / 1
LCM(11283,11287) = 127351221
Least Common Multiple (LCM) of 11283 and 11287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11283 and 11287. First we will calculate the prime factors of 11283 and 11287.
Prime Factorization of 11283
Prime factors of 11283 are 3, 3761. Prime factorization of 11283 in exponential form is:
11283 = 31 × 37611
Prime Factorization of 11287
Prime factors of 11287 are 11287. Prime factorization of 11287 in exponential form is:
11287 = 112871
Now multiplying the highest exponent prime factors to calculate the LCM of 11283 and 11287.
LCM(11283,11287) = 31 × 37611 × 112871
LCM(11283,11287) = 127351221
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