What is the Least Common Multiple of 55166 and 55181?
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 55166 and 55181 is 3044115046.
LCM(55166,55181) = 3044115046
Least Common Multiple of 55166 and 55181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55166 and 55181, than apply into the LCM equation.
GCF(55166,55181) = 1
LCM(55166,55181) = ( 55166 × 55181) / 1
LCM(55166,55181) = 3044115046 / 1
LCM(55166,55181) = 3044115046
Least Common Multiple (LCM) of 55166 and 55181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55166 and 55181. First we will calculate the prime factors of 55166 and 55181.
Prime Factorization of 55166
Prime factors of 55166 are 2, 27583. Prime factorization of 55166 in exponential form is:
55166 = 21 × 275831
Prime Factorization of 55181
Prime factors of 55181 are 7, 7883. Prime factorization of 55181 in exponential form is:
55181 = 71 × 78831
Now multiplying the highest exponent prime factors to calculate the LCM of 55166 and 55181.
LCM(55166,55181) = 21 × 275831 × 71 × 78831
LCM(55166,55181) = 3044115046
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