What is the Least Common Multiple of 18477 and 18487?
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 18477 and 18487 is 341584299.
LCM(18477,18487) = 341584299
Least Common Multiple of 18477 and 18487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18477 and 18487, than apply into the LCM equation.
GCF(18477,18487) = 1
LCM(18477,18487) = ( 18477 × 18487) / 1
LCM(18477,18487) = 341584299 / 1
LCM(18477,18487) = 341584299
Least Common Multiple (LCM) of 18477 and 18487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18477 and 18487. First we will calculate the prime factors of 18477 and 18487.
Prime Factorization of 18477
Prime factors of 18477 are 3, 2053. Prime factorization of 18477 in exponential form is:
18477 = 32 × 20531
Prime Factorization of 18487
Prime factors of 18487 are 7, 19, 139. Prime factorization of 18487 in exponential form is:
18487 = 71 × 191 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 18477 and 18487.
LCM(18477,18487) = 32 × 20531 × 71 × 191 × 1391
LCM(18477,18487) = 341584299
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