What is the Least Common Multiple of 33296 and 33313?
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 33296 and 33313 is 1109189648.
LCM(33296,33313) = 1109189648
Least Common Multiple of 33296 and 33313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33296 and 33313, than apply into the LCM equation.
GCF(33296,33313) = 1
LCM(33296,33313) = ( 33296 × 33313) / 1
LCM(33296,33313) = 1109189648 / 1
LCM(33296,33313) = 1109189648
Least Common Multiple (LCM) of 33296 and 33313 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33296 and 33313. First we will calculate the prime factors of 33296 and 33313.
Prime Factorization of 33296
Prime factors of 33296 are 2, 2081. Prime factorization of 33296 in exponential form is:
33296 = 24 × 20811
Prime Factorization of 33313
Prime factors of 33313 are 7, 4759. Prime factorization of 33313 in exponential form is:
33313 = 71 × 47591
Now multiplying the highest exponent prime factors to calculate the LCM of 33296 and 33313.
LCM(33296,33313) = 24 × 20811 × 71 × 47591
LCM(33296,33313) = 1109189648
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