What is the Least Common Multiple of 18087 and 18097?
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 18087 and 18097 is 327320439.
LCM(18087,18097) = 327320439
Least Common Multiple of 18087 and 18097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18087 and 18097, than apply into the LCM equation.
GCF(18087,18097) = 1
LCM(18087,18097) = ( 18087 × 18097) / 1
LCM(18087,18097) = 327320439 / 1
LCM(18087,18097) = 327320439
Least Common Multiple (LCM) of 18087 and 18097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18087 and 18097. First we will calculate the prime factors of 18087 and 18097.
Prime Factorization of 18087
Prime factors of 18087 are 3, 6029. Prime factorization of 18087 in exponential form is:
18087 = 31 × 60291
Prime Factorization of 18097
Prime factors of 18097 are 18097. Prime factorization of 18097 in exponential form is:
18097 = 180971
Now multiplying the highest exponent prime factors to calculate the LCM of 18087 and 18097.
LCM(18087,18097) = 31 × 60291 × 180971
LCM(18087,18097) = 327320439
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