What is the Least Common Multiple of 5324 and 5338?
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 5324 and 5338 is 14209756.
LCM(5324,5338) = 14209756
Least Common Multiple of 5324 and 5338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5324 and 5338, than apply into the LCM equation.
GCF(5324,5338) = 2
LCM(5324,5338) = ( 5324 × 5338) / 2
LCM(5324,5338) = 28419512 / 2
LCM(5324,5338) = 14209756
Least Common Multiple (LCM) of 5324 and 5338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5324 and 5338. First we will calculate the prime factors of 5324 and 5338.
Prime Factorization of 5324
Prime factors of 5324 are 2, 11. Prime factorization of 5324 in exponential form is:
5324 = 22 × 113
Prime Factorization of 5338
Prime factors of 5338 are 2, 17, 157. Prime factorization of 5338 in exponential form is:
5338 = 21 × 171 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 5324 and 5338.
LCM(5324,5338) = 22 × 113 × 171 × 1571
LCM(5324,5338) = 14209756
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