What is the Least Common Multiple of 55163 and 55177?
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 55163 and 55177 is 3043728851.
LCM(55163,55177) = 3043728851
Least Common Multiple of 55163 and 55177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55163 and 55177, than apply into the LCM equation.
GCF(55163,55177) = 1
LCM(55163,55177) = ( 55163 × 55177) / 1
LCM(55163,55177) = 3043728851 / 1
LCM(55163,55177) = 3043728851
Least Common Multiple (LCM) of 55163 and 55177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55163 and 55177. First we will calculate the prime factors of 55163 and 55177.
Prime Factorization of 55163
Prime factors of 55163 are 55163. Prime factorization of 55163 in exponential form is:
55163 = 551631
Prime Factorization of 55177
Prime factors of 55177 are 23, 2399. Prime factorization of 55177 in exponential form is:
55177 = 231 × 23991
Now multiplying the highest exponent prime factors to calculate the LCM of 55163 and 55177.
LCM(55163,55177) = 551631 × 231 × 23991
LCM(55163,55177) = 3043728851
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