What is the Least Common Multiple of 13647 and 13666?
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 13647 and 13666 is 186499902.
LCM(13647,13666) = 186499902
Least Common Multiple of 13647 and 13666 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13647 and 13666, than apply into the LCM equation.
GCF(13647,13666) = 1
LCM(13647,13666) = ( 13647 × 13666) / 1
LCM(13647,13666) = 186499902 / 1
LCM(13647,13666) = 186499902
Least Common Multiple (LCM) of 13647 and 13666 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13647 and 13666. First we will calculate the prime factors of 13647 and 13666.
Prime Factorization of 13647
Prime factors of 13647 are 3, 4549. Prime factorization of 13647 in exponential form is:
13647 = 31 × 45491
Prime Factorization of 13666
Prime factors of 13666 are 2, 6833. Prime factorization of 13666 in exponential form is:
13666 = 21 × 68331
Now multiplying the highest exponent prime factors to calculate the LCM of 13647 and 13666.
LCM(13647,13666) = 31 × 45491 × 21 × 68331
LCM(13647,13666) = 186499902
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