What is the Least Common Multiple of 18388 and 18406?
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 18388 and 18406 is 169224764.
LCM(18388,18406) = 169224764
Least Common Multiple of 18388 and 18406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18388 and 18406, than apply into the LCM equation.
GCF(18388,18406) = 2
LCM(18388,18406) = ( 18388 × 18406) / 2
LCM(18388,18406) = 338449528 / 2
LCM(18388,18406) = 169224764
Least Common Multiple (LCM) of 18388 and 18406 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18388 and 18406. First we will calculate the prime factors of 18388 and 18406.
Prime Factorization of 18388
Prime factors of 18388 are 2, 4597. Prime factorization of 18388 in exponential form is:
18388 = 22 × 45971
Prime Factorization of 18406
Prime factors of 18406 are 2, 9203. Prime factorization of 18406 in exponential form is:
18406 = 21 × 92031
Now multiplying the highest exponent prime factors to calculate the LCM of 18388 and 18406.
LCM(18388,18406) = 22 × 45971 × 92031
LCM(18388,18406) = 169224764
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