What is the Least Common Multiple of 18127 and 18143?
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 18127 and 18143 is 328878161.
LCM(18127,18143) = 328878161
Least Common Multiple of 18127 and 18143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18127 and 18143, than apply into the LCM equation.
GCF(18127,18143) = 1
LCM(18127,18143) = ( 18127 × 18143) / 1
LCM(18127,18143) = 328878161 / 1
LCM(18127,18143) = 328878161
Least Common Multiple (LCM) of 18127 and 18143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18127 and 18143. First we will calculate the prime factors of 18127 and 18143.
Prime Factorization of 18127
Prime factors of 18127 are 18127. Prime factorization of 18127 in exponential form is:
18127 = 181271
Prime Factorization of 18143
Prime factors of 18143 are 18143. Prime factorization of 18143 in exponential form is:
18143 = 181431
Now multiplying the highest exponent prime factors to calculate the LCM of 18127 and 18143.
LCM(18127,18143) = 181271 × 181431
LCM(18127,18143) = 328878161
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