What is the Least Common Multiple of 18222 and 18226?
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 18222 and 18226 is 166057086.
LCM(18222,18226) = 166057086
Least Common Multiple of 18222 and 18226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18222 and 18226, than apply into the LCM equation.
GCF(18222,18226) = 2
LCM(18222,18226) = ( 18222 × 18226) / 2
LCM(18222,18226) = 332114172 / 2
LCM(18222,18226) = 166057086
Least Common Multiple (LCM) of 18222 and 18226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18222 and 18226. First we will calculate the prime factors of 18222 and 18226.
Prime Factorization of 18222
Prime factors of 18222 are 2, 3, 3037. Prime factorization of 18222 in exponential form is:
18222 = 21 × 31 × 30371
Prime Factorization of 18226
Prime factors of 18226 are 2, 13, 701. Prime factorization of 18226 in exponential form is:
18226 = 21 × 131 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 18222 and 18226.
LCM(18222,18226) = 21 × 31 × 30371 × 131 × 7011
LCM(18222,18226) = 166057086
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