What is the Least Common Multiple of 5334 and 5344?
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 5334 and 5344 is 14252448.
LCM(5334,5344) = 14252448
Least Common Multiple of 5334 and 5344 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5334 and 5344, than apply into the LCM equation.
GCF(5334,5344) = 2
LCM(5334,5344) = ( 5334 × 5344) / 2
LCM(5334,5344) = 28504896 / 2
LCM(5334,5344) = 14252448
Least Common Multiple (LCM) of 5334 and 5344 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5334 and 5344. First we will calculate the prime factors of 5334 and 5344.
Prime Factorization of 5334
Prime factors of 5334 are 2, 3, 7, 127. Prime factorization of 5334 in exponential form is:
5334 = 21 × 31 × 71 × 1271
Prime Factorization of 5344
Prime factors of 5344 are 2, 167. Prime factorization of 5344 in exponential form is:
5344 = 25 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 5334 and 5344.
LCM(5334,5344) = 25 × 31 × 71 × 1271 × 1671
LCM(5334,5344) = 14252448
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