What is the Least Common Multiple of 11023 and 11036?
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 11023 and 11036 is 121649828.
LCM(11023,11036) = 121649828
Least Common Multiple of 11023 and 11036 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11023 and 11036, than apply into the LCM equation.
GCF(11023,11036) = 1
LCM(11023,11036) = ( 11023 × 11036) / 1
LCM(11023,11036) = 121649828 / 1
LCM(11023,11036) = 121649828
Least Common Multiple (LCM) of 11023 and 11036 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11023 and 11036. First we will calculate the prime factors of 11023 and 11036.
Prime Factorization of 11023
Prime factors of 11023 are 73, 151. Prime factorization of 11023 in exponential form is:
11023 = 731 × 1511
Prime Factorization of 11036
Prime factors of 11036 are 2, 31, 89. Prime factorization of 11036 in exponential form is:
11036 = 22 × 311 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 11023 and 11036.
LCM(11023,11036) = 731 × 1511 × 22 × 311 × 891
LCM(11023,11036) = 121649828
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