What is the Least Common Multiple of 18385 and 18405?
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 18385 and 18405 is 67675185.
LCM(18385,18405) = 67675185
Least Common Multiple of 18385 and 18405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18385 and 18405, than apply into the LCM equation.
GCF(18385,18405) = 5
LCM(18385,18405) = ( 18385 × 18405) / 5
LCM(18385,18405) = 338375925 / 5
LCM(18385,18405) = 67675185
Least Common Multiple (LCM) of 18385 and 18405 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18385 and 18405. First we will calculate the prime factors of 18385 and 18405.
Prime Factorization of 18385
Prime factors of 18385 are 5, 3677. Prime factorization of 18385 in exponential form is:
18385 = 51 × 36771
Prime Factorization of 18405
Prime factors of 18405 are 3, 5, 409. Prime factorization of 18405 in exponential form is:
18405 = 32 × 51 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 18385 and 18405.
LCM(18385,18405) = 51 × 36771 × 32 × 4091
LCM(18385,18405) = 67675185
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