What is the Least Common Multiple of 13134 and 13153?
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 13134 and 13153 is 172751502.
LCM(13134,13153) = 172751502
Least Common Multiple of 13134 and 13153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13134 and 13153, than apply into the LCM equation.
GCF(13134,13153) = 1
LCM(13134,13153) = ( 13134 × 13153) / 1
LCM(13134,13153) = 172751502 / 1
LCM(13134,13153) = 172751502
Least Common Multiple (LCM) of 13134 and 13153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13134 and 13153. First we will calculate the prime factors of 13134 and 13153.
Prime Factorization of 13134
Prime factors of 13134 are 2, 3, 11, 199. Prime factorization of 13134 in exponential form is:
13134 = 21 × 31 × 111 × 1991
Prime Factorization of 13153
Prime factors of 13153 are 7, 1879. Prime factorization of 13153 in exponential form is:
13153 = 71 × 18791
Now multiplying the highest exponent prime factors to calculate the LCM of 13134 and 13153.
LCM(13134,13153) = 21 × 31 × 111 × 1991 × 71 × 18791
LCM(13134,13153) = 172751502
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