What is the Least Common Multiple of 33514 and 33533?
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 33514 and 33533 is 1123824962.
LCM(33514,33533) = 1123824962
Least Common Multiple of 33514 and 33533 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33514 and 33533, than apply into the LCM equation.
GCF(33514,33533) = 1
LCM(33514,33533) = ( 33514 × 33533) / 1
LCM(33514,33533) = 1123824962 / 1
LCM(33514,33533) = 1123824962
Least Common Multiple (LCM) of 33514 and 33533 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33514 and 33533. First we will calculate the prime factors of 33514 and 33533.
Prime Factorization of 33514
Prime factors of 33514 are 2, 13, 1289. Prime factorization of 33514 in exponential form is:
33514 = 21 × 131 × 12891
Prime Factorization of 33533
Prime factors of 33533 are 33533. Prime factorization of 33533 in exponential form is:
33533 = 335331
Now multiplying the highest exponent prime factors to calculate the LCM of 33514 and 33533.
LCM(33514,33533) = 21 × 131 × 12891 × 335331
LCM(33514,33533) = 1123824962
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