What is the Least Common Multiple of 18878 and 18897?
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 18878 and 18897 is 356737566.
LCM(18878,18897) = 356737566
Least Common Multiple of 18878 and 18897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18878 and 18897, than apply into the LCM equation.
GCF(18878,18897) = 1
LCM(18878,18897) = ( 18878 × 18897) / 1
LCM(18878,18897) = 356737566 / 1
LCM(18878,18897) = 356737566
Least Common Multiple (LCM) of 18878 and 18897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18878 and 18897. First we will calculate the prime factors of 18878 and 18897.
Prime Factorization of 18878
Prime factors of 18878 are 2, 9439. Prime factorization of 18878 in exponential form is:
18878 = 21 × 94391
Prime Factorization of 18897
Prime factors of 18897 are 3, 6299. Prime factorization of 18897 in exponential form is:
18897 = 31 × 62991
Now multiplying the highest exponent prime factors to calculate the LCM of 18878 and 18897.
LCM(18878,18897) = 21 × 94391 × 31 × 62991
LCM(18878,18897) = 356737566
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