What is the Least Common Multiple of 33281 and 33285?
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 33281 and 33285 is 1107758085.
LCM(33281,33285) = 1107758085
Least Common Multiple of 33281 and 33285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33281 and 33285, than apply into the LCM equation.
GCF(33281,33285) = 1
LCM(33281,33285) = ( 33281 × 33285) / 1
LCM(33281,33285) = 1107758085 / 1
LCM(33281,33285) = 1107758085
Least Common Multiple (LCM) of 33281 and 33285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33281 and 33285. First we will calculate the prime factors of 33281 and 33285.
Prime Factorization of 33281
Prime factors of 33281 are 23, 1447. Prime factorization of 33281 in exponential form is:
33281 = 231 × 14471
Prime Factorization of 33285
Prime factors of 33285 are 3, 5, 7, 317. Prime factorization of 33285 in exponential form is:
33285 = 31 × 51 × 71 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 33281 and 33285.
LCM(33281,33285) = 231 × 14471 × 31 × 51 × 71 × 3171
LCM(33281,33285) = 1107758085
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