What is the Least Common Multiple of 55885 and 55897?
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 55885 and 55897 is 3123803845.
LCM(55885,55897) = 3123803845
Least Common Multiple of 55885 and 55897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55885 and 55897, than apply into the LCM equation.
GCF(55885,55897) = 1
LCM(55885,55897) = ( 55885 × 55897) / 1
LCM(55885,55897) = 3123803845 / 1
LCM(55885,55897) = 3123803845
Least Common Multiple (LCM) of 55885 and 55897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55885 and 55897. First we will calculate the prime factors of 55885 and 55897.
Prime Factorization of 55885
Prime factors of 55885 are 5, 11177. Prime factorization of 55885 in exponential form is:
55885 = 51 × 111771
Prime Factorization of 55897
Prime factors of 55897 are 55897. Prime factorization of 55897 in exponential form is:
55897 = 558971
Now multiplying the highest exponent prime factors to calculate the LCM of 55885 and 55897.
LCM(55885,55897) = 51 × 111771 × 558971
LCM(55885,55897) = 3123803845
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