What is the Least Common Multiple of 55084 and 55099?
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 55084 and 55099 is 3035073316.
LCM(55084,55099) = 3035073316
Least Common Multiple of 55084 and 55099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55084 and 55099, than apply into the LCM equation.
GCF(55084,55099) = 1
LCM(55084,55099) = ( 55084 × 55099) / 1
LCM(55084,55099) = 3035073316 / 1
LCM(55084,55099) = 3035073316
Least Common Multiple (LCM) of 55084 and 55099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55084 and 55099. First we will calculate the prime factors of 55084 and 55099.
Prime Factorization of 55084
Prime factors of 55084 are 2, 47, 293. Prime factorization of 55084 in exponential form is:
55084 = 22 × 471 × 2931
Prime Factorization of 55099
Prime factors of 55099 are 11, 5009. Prime factorization of 55099 in exponential form is:
55099 = 111 × 50091
Now multiplying the highest exponent prime factors to calculate the LCM of 55084 and 55099.
LCM(55084,55099) = 22 × 471 × 2931 × 111 × 50091
LCM(55084,55099) = 3035073316
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