What is the Least Common Multiple of 33004 and 33020?
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 33004 and 33020 is 272448020.
LCM(33004,33020) = 272448020
Least Common Multiple of 33004 and 33020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33004 and 33020, than apply into the LCM equation.
GCF(33004,33020) = 4
LCM(33004,33020) = ( 33004 × 33020) / 4
LCM(33004,33020) = 1089792080 / 4
LCM(33004,33020) = 272448020
Least Common Multiple (LCM) of 33004 and 33020 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33004 and 33020. First we will calculate the prime factors of 33004 and 33020.
Prime Factorization of 33004
Prime factors of 33004 are 2, 37, 223. Prime factorization of 33004 in exponential form is:
33004 = 22 × 371 × 2231
Prime Factorization of 33020
Prime factors of 33020 are 2, 5, 13, 127. Prime factorization of 33020 in exponential form is:
33020 = 22 × 51 × 131 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 33004 and 33020.
LCM(33004,33020) = 22 × 371 × 2231 × 51 × 131 × 1271
LCM(33004,33020) = 272448020
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