What is the Least Common Multiple of 13128 and 13147?
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 13128 and 13147 is 172593816.
LCM(13128,13147) = 172593816
Least Common Multiple of 13128 and 13147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13128 and 13147, than apply into the LCM equation.
GCF(13128,13147) = 1
LCM(13128,13147) = ( 13128 × 13147) / 1
LCM(13128,13147) = 172593816 / 1
LCM(13128,13147) = 172593816
Least Common Multiple (LCM) of 13128 and 13147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13128 and 13147. First we will calculate the prime factors of 13128 and 13147.
Prime Factorization of 13128
Prime factors of 13128 are 2, 3, 547. Prime factorization of 13128 in exponential form is:
13128 = 23 × 31 × 5471
Prime Factorization of 13147
Prime factors of 13147 are 13147. Prime factorization of 13147 in exponential form is:
13147 = 131471
Now multiplying the highest exponent prime factors to calculate the LCM of 13128 and 13147.
LCM(13128,13147) = 23 × 31 × 5471 × 131471
LCM(13128,13147) = 172593816
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