What is the Least Common Multiple of 13354 and 13367?
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 13354 and 13367 is 178502918.
LCM(13354,13367) = 178502918
Least Common Multiple of 13354 and 13367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13354 and 13367, than apply into the LCM equation.
GCF(13354,13367) = 1
LCM(13354,13367) = ( 13354 × 13367) / 1
LCM(13354,13367) = 178502918 / 1
LCM(13354,13367) = 178502918
Least Common Multiple (LCM) of 13354 and 13367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13354 and 13367. First we will calculate the prime factors of 13354 and 13367.
Prime Factorization of 13354
Prime factors of 13354 are 2, 11, 607. Prime factorization of 13354 in exponential form is:
13354 = 21 × 111 × 6071
Prime Factorization of 13367
Prime factors of 13367 are 13367. Prime factorization of 13367 in exponential form is:
13367 = 133671
Now multiplying the highest exponent prime factors to calculate the LCM of 13354 and 13367.
LCM(13354,13367) = 21 × 111 × 6071 × 133671
LCM(13354,13367) = 178502918
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