What is the Least Common Multiple of 13257 and 13271?
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 13257 and 13271 is 175933647.
LCM(13257,13271) = 175933647
Least Common Multiple of 13257 and 13271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13257 and 13271, than apply into the LCM equation.
GCF(13257,13271) = 1
LCM(13257,13271) = ( 13257 × 13271) / 1
LCM(13257,13271) = 175933647 / 1
LCM(13257,13271) = 175933647
Least Common Multiple (LCM) of 13257 and 13271 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13257 and 13271. First we will calculate the prime factors of 13257 and 13271.
Prime Factorization of 13257
Prime factors of 13257 are 3, 491. Prime factorization of 13257 in exponential form is:
13257 = 33 × 4911
Prime Factorization of 13271
Prime factors of 13271 are 23, 577. Prime factorization of 13271 in exponential form is:
13271 = 231 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 13257 and 13271.
LCM(13257,13271) = 33 × 4911 × 231 × 5771
LCM(13257,13271) = 175933647
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