What is the Least Common Multiple of 33425 and 33445?
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 33425 and 33445 is 223579825.
LCM(33425,33445) = 223579825
Least Common Multiple of 33425 and 33445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33425 and 33445, than apply into the LCM equation.
GCF(33425,33445) = 5
LCM(33425,33445) = ( 33425 × 33445) / 5
LCM(33425,33445) = 1117899125 / 5
LCM(33425,33445) = 223579825
Least Common Multiple (LCM) of 33425 and 33445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33425 and 33445. First we will calculate the prime factors of 33425 and 33445.
Prime Factorization of 33425
Prime factors of 33425 are 5, 7, 191. Prime factorization of 33425 in exponential form is:
33425 = 52 × 71 × 1911
Prime Factorization of 33445
Prime factors of 33445 are 5, 6689. Prime factorization of 33445 in exponential form is:
33445 = 51 × 66891
Now multiplying the highest exponent prime factors to calculate the LCM of 33425 and 33445.
LCM(33425,33445) = 52 × 71 × 1911 × 66891
LCM(33425,33445) = 223579825
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