What is the Least Common Multiple of 55223 and 55227?
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 55223 and 55227 is 3049800621.
LCM(55223,55227) = 3049800621
Least Common Multiple of 55223 and 55227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55223 and 55227, than apply into the LCM equation.
GCF(55223,55227) = 1
LCM(55223,55227) = ( 55223 × 55227) / 1
LCM(55223,55227) = 3049800621 / 1
LCM(55223,55227) = 3049800621
Least Common Multiple (LCM) of 55223 and 55227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55223 and 55227. First we will calculate the prime factors of 55223 and 55227.
Prime Factorization of 55223
Prime factors of 55223 are 7, 23. Prime factorization of 55223 in exponential form is:
55223 = 74 × 231
Prime Factorization of 55227
Prime factors of 55227 are 3, 41, 449. Prime factorization of 55227 in exponential form is:
55227 = 31 × 411 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 55223 and 55227.
LCM(55223,55227) = 74 × 231 × 31 × 411 × 4491
LCM(55223,55227) = 3049800621
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