What is the Least Common Multiple of 11089 and 11107?
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 11089 and 11107 is 123165523.
LCM(11089,11107) = 123165523
Least Common Multiple of 11089 and 11107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11089 and 11107, than apply into the LCM equation.
GCF(11089,11107) = 1
LCM(11089,11107) = ( 11089 × 11107) / 1
LCM(11089,11107) = 123165523 / 1
LCM(11089,11107) = 123165523
Least Common Multiple (LCM) of 11089 and 11107 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11089 and 11107. First we will calculate the prime factors of 11089 and 11107.
Prime Factorization of 11089
Prime factors of 11089 are 13, 853. Prime factorization of 11089 in exponential form is:
11089 = 131 × 8531
Prime Factorization of 11107
Prime factors of 11107 are 29, 383. Prime factorization of 11107 in exponential form is:
11107 = 291 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 11089 and 11107.
LCM(11089,11107) = 131 × 8531 × 291 × 3831
LCM(11089,11107) = 123165523
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