What is the Least Common Multiple of 33104 and 33114?
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 33104 and 33114 is 548102928.
LCM(33104,33114) = 548102928
Least Common Multiple of 33104 and 33114 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33104 and 33114, than apply into the LCM equation.
GCF(33104,33114) = 2
LCM(33104,33114) = ( 33104 × 33114) / 2
LCM(33104,33114) = 1096205856 / 2
LCM(33104,33114) = 548102928
Least Common Multiple (LCM) of 33104 and 33114 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33104 and 33114. First we will calculate the prime factors of 33104 and 33114.
Prime Factorization of 33104
Prime factors of 33104 are 2, 2069. Prime factorization of 33104 in exponential form is:
33104 = 24 × 20691
Prime Factorization of 33114
Prime factors of 33114 are 2, 3, 5519. Prime factorization of 33114 in exponential form is:
33114 = 21 × 31 × 55191
Now multiplying the highest exponent prime factors to calculate the LCM of 33104 and 33114.
LCM(33104,33114) = 24 × 20691 × 31 × 55191
LCM(33104,33114) = 548102928
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