What is the Least Common Multiple of 18284 and 18296?
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 18284 and 18296 is 83631016.
LCM(18284,18296) = 83631016
Least Common Multiple of 18284 and 18296 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18284 and 18296, than apply into the LCM equation.
GCF(18284,18296) = 4
LCM(18284,18296) = ( 18284 × 18296) / 4
LCM(18284,18296) = 334524064 / 4
LCM(18284,18296) = 83631016
Least Common Multiple (LCM) of 18284 and 18296 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18284 and 18296. First we will calculate the prime factors of 18284 and 18296.
Prime Factorization of 18284
Prime factors of 18284 are 2, 7, 653. Prime factorization of 18284 in exponential form is:
18284 = 22 × 71 × 6531
Prime Factorization of 18296
Prime factors of 18296 are 2, 2287. Prime factorization of 18296 in exponential form is:
18296 = 23 × 22871
Now multiplying the highest exponent prime factors to calculate the LCM of 18284 and 18296.
LCM(18284,18296) = 23 × 71 × 6531 × 22871
LCM(18284,18296) = 83631016
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