What is the Least Common Multiple of 13449 and 13467?
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 13449 and 13467 is 60372561.
LCM(13449,13467) = 60372561
Least Common Multiple of 13449 and 13467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13449 and 13467, than apply into the LCM equation.
GCF(13449,13467) = 3
LCM(13449,13467) = ( 13449 × 13467) / 3
LCM(13449,13467) = 181117683 / 3
LCM(13449,13467) = 60372561
Least Common Multiple (LCM) of 13449 and 13467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13449 and 13467. First we will calculate the prime factors of 13449 and 13467.
Prime Factorization of 13449
Prime factors of 13449 are 3, 4483. Prime factorization of 13449 in exponential form is:
13449 = 31 × 44831
Prime Factorization of 13467
Prime factors of 13467 are 3, 67. Prime factorization of 13467 in exponential form is:
13467 = 31 × 672
Now multiplying the highest exponent prime factors to calculate the LCM of 13449 and 13467.
LCM(13449,13467) = 31 × 44831 × 672
LCM(13449,13467) = 60372561
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