What is the Least Common Multiple of 18467 and 18479?
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 18467 and 18479 is 341251693.
LCM(18467,18479) = 341251693
Least Common Multiple of 18467 and 18479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18467 and 18479, than apply into the LCM equation.
GCF(18467,18479) = 1
LCM(18467,18479) = ( 18467 × 18479) / 1
LCM(18467,18479) = 341251693 / 1
LCM(18467,18479) = 341251693
Least Common Multiple (LCM) of 18467 and 18479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18467 and 18479. First we will calculate the prime factors of 18467 and 18479.
Prime Factorization of 18467
Prime factors of 18467 are 59, 313. Prime factorization of 18467 in exponential form is:
18467 = 591 × 3131
Prime Factorization of 18479
Prime factors of 18479 are 17, 1087. Prime factorization of 18479 in exponential form is:
18479 = 171 × 10871
Now multiplying the highest exponent prime factors to calculate the LCM of 18467 and 18479.
LCM(18467,18479) = 591 × 3131 × 171 × 10871
LCM(18467,18479) = 341251693
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