What is the Least Common Multiple of 13463 and 13481?
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 13463 and 13481 is 181494703.
LCM(13463,13481) = 181494703
Least Common Multiple of 13463 and 13481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13463 and 13481, than apply into the LCM equation.
GCF(13463,13481) = 1
LCM(13463,13481) = ( 13463 × 13481) / 1
LCM(13463,13481) = 181494703 / 1
LCM(13463,13481) = 181494703
Least Common Multiple (LCM) of 13463 and 13481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13463 and 13481. First we will calculate the prime factors of 13463 and 13481.
Prime Factorization of 13463
Prime factors of 13463 are 13463. Prime factorization of 13463 in exponential form is:
13463 = 134631
Prime Factorization of 13481
Prime factors of 13481 are 13, 17, 61. Prime factorization of 13481 in exponential form is:
13481 = 131 × 171 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 13463 and 13481.
LCM(13463,13481) = 134631 × 131 × 171 × 611
LCM(13463,13481) = 181494703
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