What is the Least Common Multiple of 18288 and 18308?
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 18288 and 18308 is 83704176.
LCM(18288,18308) = 83704176
Least Common Multiple of 18288 and 18308 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18288 and 18308, than apply into the LCM equation.
GCF(18288,18308) = 4
LCM(18288,18308) = ( 18288 × 18308) / 4
LCM(18288,18308) = 334816704 / 4
LCM(18288,18308) = 83704176
Least Common Multiple (LCM) of 18288 and 18308 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18288 and 18308. First we will calculate the prime factors of 18288 and 18308.
Prime Factorization of 18288
Prime factors of 18288 are 2, 3, 127. Prime factorization of 18288 in exponential form is:
18288 = 24 × 32 × 1271
Prime Factorization of 18308
Prime factors of 18308 are 2, 23, 199. Prime factorization of 18308 in exponential form is:
18308 = 22 × 231 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 18288 and 18308.
LCM(18288,18308) = 24 × 32 × 1271 × 231 × 1991
LCM(18288,18308) = 83704176
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