What is the Least Common Multiple of 5276 and 5293?
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 5276 and 5293 is 27925868.
LCM(5276,5293) = 27925868
Least Common Multiple of 5276 and 5293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5276 and 5293, than apply into the LCM equation.
GCF(5276,5293) = 1
LCM(5276,5293) = ( 5276 × 5293) / 1
LCM(5276,5293) = 27925868 / 1
LCM(5276,5293) = 27925868
Least Common Multiple (LCM) of 5276 and 5293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5276 and 5293. First we will calculate the prime factors of 5276 and 5293.
Prime Factorization of 5276
Prime factors of 5276 are 2, 1319. Prime factorization of 5276 in exponential form is:
5276 = 22 × 13191
Prime Factorization of 5293
Prime factors of 5293 are 67, 79. Prime factorization of 5293 in exponential form is:
5293 = 671 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 5276 and 5293.
LCM(5276,5293) = 22 × 13191 × 671 × 791
LCM(5276,5293) = 27925868
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