What is the Least Common Multiple of 13376 and 13381?
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 13376 and 13381 is 178984256.
LCM(13376,13381) = 178984256
Least Common Multiple of 13376 and 13381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13376 and 13381, than apply into the LCM equation.
GCF(13376,13381) = 1
LCM(13376,13381) = ( 13376 × 13381) / 1
LCM(13376,13381) = 178984256 / 1
LCM(13376,13381) = 178984256
Least Common Multiple (LCM) of 13376 and 13381 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13376 and 13381. First we will calculate the prime factors of 13376 and 13381.
Prime Factorization of 13376
Prime factors of 13376 are 2, 11, 19. Prime factorization of 13376 in exponential form is:
13376 = 26 × 111 × 191
Prime Factorization of 13381
Prime factors of 13381 are 13381. Prime factorization of 13381 in exponential form is:
13381 = 133811
Now multiplying the highest exponent prime factors to calculate the LCM of 13376 and 13381.
LCM(13376,13381) = 26 × 111 × 191 × 133811
LCM(13376,13381) = 178984256
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