What is the Least Common Multiple of 5353 and 5359?
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 5353 and 5359 is 28686727.
LCM(5353,5359) = 28686727
Least Common Multiple of 5353 and 5359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5353 and 5359, than apply into the LCM equation.
GCF(5353,5359) = 1
LCM(5353,5359) = ( 5353 × 5359) / 1
LCM(5353,5359) = 28686727 / 1
LCM(5353,5359) = 28686727
Least Common Multiple (LCM) of 5353 and 5359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5353 and 5359. First we will calculate the prime factors of 5353 and 5359.
Prime Factorization of 5353
Prime factors of 5353 are 53, 101. Prime factorization of 5353 in exponential form is:
5353 = 531 × 1011
Prime Factorization of 5359
Prime factors of 5359 are 23, 233. Prime factorization of 5359 in exponential form is:
5359 = 231 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 5353 and 5359.
LCM(5353,5359) = 531 × 1011 × 231 × 2331
LCM(5353,5359) = 28686727
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