What is the Least Common Multiple of 18321 and 18337?
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 18321 and 18337 is 335952177.
LCM(18321,18337) = 335952177
Least Common Multiple of 18321 and 18337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18321 and 18337, than apply into the LCM equation.
GCF(18321,18337) = 1
LCM(18321,18337) = ( 18321 × 18337) / 1
LCM(18321,18337) = 335952177 / 1
LCM(18321,18337) = 335952177
Least Common Multiple (LCM) of 18321 and 18337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18321 and 18337. First we will calculate the prime factors of 18321 and 18337.
Prime Factorization of 18321
Prime factors of 18321 are 3, 31, 197. Prime factorization of 18321 in exponential form is:
18321 = 31 × 311 × 1971
Prime Factorization of 18337
Prime factors of 18337 are 11, 1667. Prime factorization of 18337 in exponential form is:
18337 = 111 × 16671
Now multiplying the highest exponent prime factors to calculate the LCM of 18321 and 18337.
LCM(18321,18337) = 31 × 311 × 1971 × 111 × 16671
LCM(18321,18337) = 335952177
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