What is the Least Common Multiple of 62223 and 62231?
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 62223 and 62231 is 3872199513.
LCM(62223,62231) = 3872199513
Least Common Multiple of 62223 and 62231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62223 and 62231, than apply into the LCM equation.
GCF(62223,62231) = 1
LCM(62223,62231) = ( 62223 × 62231) / 1
LCM(62223,62231) = 3872199513 / 1
LCM(62223,62231) = 3872199513
Least Common Multiple (LCM) of 62223 and 62231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62223 and 62231. First we will calculate the prime factors of 62223 and 62231.
Prime Factorization of 62223
Prime factors of 62223 are 3, 7, 2963. Prime factorization of 62223 in exponential form is:
62223 = 31 × 71 × 29631
Prime Factorization of 62231
Prime factors of 62231 are 13, 4787. Prime factorization of 62231 in exponential form is:
62231 = 131 × 47871
Now multiplying the highest exponent prime factors to calculate the LCM of 62223 and 62231.
LCM(62223,62231) = 31 × 71 × 29631 × 131 × 47871
LCM(62223,62231) = 3872199513
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