What is the Least Common Multiple of 55091 and 55111?
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 55091 and 55111 is 3036120101.
LCM(55091,55111) = 3036120101
Least Common Multiple of 55091 and 55111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55091 and 55111, than apply into the LCM equation.
GCF(55091,55111) = 1
LCM(55091,55111) = ( 55091 × 55111) / 1
LCM(55091,55111) = 3036120101 / 1
LCM(55091,55111) = 3036120101
Least Common Multiple (LCM) of 55091 and 55111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55091 and 55111. First we will calculate the prime factors of 55091 and 55111.
Prime Factorization of 55091
Prime factors of 55091 are 89, 619. Prime factorization of 55091 in exponential form is:
55091 = 891 × 6191
Prime Factorization of 55111
Prime factors of 55111 are 7, 7873. Prime factorization of 55111 in exponential form is:
55111 = 71 × 78731
Now multiplying the highest exponent prime factors to calculate the LCM of 55091 and 55111.
LCM(55091,55111) = 891 × 6191 × 71 × 78731
LCM(55091,55111) = 3036120101
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