What is the Least Common Multiple of 18284 and 18297?
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 18297 is 334542348.
LCM(18284,18297) = 334542348
Least Common Multiple of 18284 and 18297 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 18297, than apply into the LCM equation.
GCF(18284,18297) = 1
LCM(18284,18297) = ( 18284 × 18297) / 1
LCM(18284,18297) = 334542348 / 1
LCM(18284,18297) = 334542348
Least Common Multiple (LCM) of 18284 and 18297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18284 and 18297. First we will calculate the prime factors of 18284 and 18297.
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 18297
Prime factors of 18297 are 3, 19, 107. Prime factorization of 18297 in exponential form is:
18297 = 32 × 191 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 18284 and 18297.
LCM(18284,18297) = 22 × 71 × 6531 × 32 × 191 × 1071
LCM(18284,18297) = 334542348
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