What is the Least Common Multiple of 18283 and 18293?
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 18283 and 18293 is 334450919.
LCM(18283,18293) = 334450919
Least Common Multiple of 18283 and 18293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18283 and 18293, than apply into the LCM equation.
GCF(18283,18293) = 1
LCM(18283,18293) = ( 18283 × 18293) / 1
LCM(18283,18293) = 334450919 / 1
LCM(18283,18293) = 334450919
Least Common Multiple (LCM) of 18283 and 18293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18283 and 18293. First we will calculate the prime factors of 18283 and 18293.
Prime Factorization of 18283
Prime factors of 18283 are 47, 389. Prime factorization of 18283 in exponential form is:
18283 = 471 × 3891
Prime Factorization of 18293
Prime factors of 18293 are 11, 1663. Prime factorization of 18293 in exponential form is:
18293 = 111 × 16631
Now multiplying the highest exponent prime factors to calculate the LCM of 18283 and 18293.
LCM(18283,18293) = 471 × 3891 × 111 × 16631
LCM(18283,18293) = 334450919
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