What is the Least Common Multiple of 5333 and 5340?
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 5333 and 5340 is 28478220.
LCM(5333,5340) = 28478220
Least Common Multiple of 5333 and 5340 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5333 and 5340, than apply into the LCM equation.
GCF(5333,5340) = 1
LCM(5333,5340) = ( 5333 × 5340) / 1
LCM(5333,5340) = 28478220 / 1
LCM(5333,5340) = 28478220
Least Common Multiple (LCM) of 5333 and 5340 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5333 and 5340. First we will calculate the prime factors of 5333 and 5340.
Prime Factorization of 5333
Prime factors of 5333 are 5333. Prime factorization of 5333 in exponential form is:
5333 = 53331
Prime Factorization of 5340
Prime factors of 5340 are 2, 3, 5, 89. Prime factorization of 5340 in exponential form is:
5340 = 22 × 31 × 51 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 5333 and 5340.
LCM(5333,5340) = 53331 × 22 × 31 × 51 × 891
LCM(5333,5340) = 28478220
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