What is the Least Common Multiple of 18380 and 18400?
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 18380 and 18400 is 16909600.
LCM(18380,18400) = 16909600
Least Common Multiple of 18380 and 18400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18380 and 18400, than apply into the LCM equation.
GCF(18380,18400) = 20
LCM(18380,18400) = ( 18380 × 18400) / 20
LCM(18380,18400) = 338192000 / 20
LCM(18380,18400) = 16909600
Least Common Multiple (LCM) of 18380 and 18400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18380 and 18400. First we will calculate the prime factors of 18380 and 18400.
Prime Factorization of 18380
Prime factors of 18380 are 2, 5, 919. Prime factorization of 18380 in exponential form is:
18380 = 22 × 51 × 9191
Prime Factorization of 18400
Prime factors of 18400 are 2, 5, 23. Prime factorization of 18400 in exponential form is:
18400 = 25 × 52 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 18380 and 18400.
LCM(18380,18400) = 25 × 52 × 9191 × 231
LCM(18380,18400) = 16909600
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