What is the Least Common Multiple of 5359 and 5376?
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 5359 and 5376 is 28809984.
LCM(5359,5376) = 28809984
Least Common Multiple of 5359 and 5376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5359 and 5376, than apply into the LCM equation.
GCF(5359,5376) = 1
LCM(5359,5376) = ( 5359 × 5376) / 1
LCM(5359,5376) = 28809984 / 1
LCM(5359,5376) = 28809984
Least Common Multiple (LCM) of 5359 and 5376 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5359 and 5376. First we will calculate the prime factors of 5359 and 5376.
Prime Factorization of 5359
Prime factors of 5359 are 23, 233. Prime factorization of 5359 in exponential form is:
5359 = 231 × 2331
Prime Factorization of 5376
Prime factors of 5376 are 2, 3, 7. Prime factorization of 5376 in exponential form is:
5376 = 28 × 31 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 5359 and 5376.
LCM(5359,5376) = 231 × 2331 × 28 × 31 × 71
LCM(5359,5376) = 28809984
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