What is the Least Common Multiple of 33535 and 33555?
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 33535 and 33555 is 225053385.
LCM(33535,33555) = 225053385
Least Common Multiple of 33535 and 33555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33535 and 33555, than apply into the LCM equation.
GCF(33535,33555) = 5
LCM(33535,33555) = ( 33535 × 33555) / 5
LCM(33535,33555) = 1125266925 / 5
LCM(33535,33555) = 225053385
Least Common Multiple (LCM) of 33535 and 33555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33535 and 33555. First we will calculate the prime factors of 33535 and 33555.
Prime Factorization of 33535
Prime factors of 33535 are 5, 19, 353. Prime factorization of 33535 in exponential form is:
33535 = 51 × 191 × 3531
Prime Factorization of 33555
Prime factors of 33555 are 3, 5, 2237. Prime factorization of 33555 in exponential form is:
33555 = 31 × 51 × 22371
Now multiplying the highest exponent prime factors to calculate the LCM of 33535 and 33555.
LCM(33535,33555) = 51 × 191 × 3531 × 31 × 22371
LCM(33535,33555) = 225053385
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