What is the Least Common Multiple of 13143 and 13159?
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 13143 and 13159 is 172948737.
LCM(13143,13159) = 172948737
Least Common Multiple of 13143 and 13159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13143 and 13159, than apply into the LCM equation.
GCF(13143,13159) = 1
LCM(13143,13159) = ( 13143 × 13159) / 1
LCM(13143,13159) = 172948737 / 1
LCM(13143,13159) = 172948737
Least Common Multiple (LCM) of 13143 and 13159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13143 and 13159. First we will calculate the prime factors of 13143 and 13159.
Prime Factorization of 13143
Prime factors of 13143 are 3, 13, 337. Prime factorization of 13143 in exponential form is:
13143 = 31 × 131 × 3371
Prime Factorization of 13159
Prime factors of 13159 are 13159. Prime factorization of 13159 in exponential form is:
13159 = 131591
Now multiplying the highest exponent prime factors to calculate the LCM of 13143 and 13159.
LCM(13143,13159) = 31 × 131 × 3371 × 131591
LCM(13143,13159) = 172948737
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