What is the Least Common Multiple of 55162 and 55173?
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 55162 and 55173 is 3043453026.
LCM(55162,55173) = 3043453026
Least Common Multiple of 55162 and 55173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55162 and 55173, than apply into the LCM equation.
GCF(55162,55173) = 1
LCM(55162,55173) = ( 55162 × 55173) / 1
LCM(55162,55173) = 3043453026 / 1
LCM(55162,55173) = 3043453026
Least Common Multiple (LCM) of 55162 and 55173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55162 and 55173. First we will calculate the prime factors of 55162 and 55173.
Prime Factorization of 55162
Prime factors of 55162 are 2, 27581. Prime factorization of 55162 in exponential form is:
55162 = 21 × 275811
Prime Factorization of 55173
Prime factors of 55173 are 3, 53, 347. Prime factorization of 55173 in exponential form is:
55173 = 31 × 531 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 55162 and 55173.
LCM(55162,55173) = 21 × 275811 × 31 × 531 × 3471
LCM(55162,55173) = 3043453026
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