What is the Least Common Multiple of 33665 and 33669?
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 33665 and 33669 is 1133466885.
LCM(33665,33669) = 1133466885
Least Common Multiple of 33665 and 33669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33665 and 33669, than apply into the LCM equation.
GCF(33665,33669) = 1
LCM(33665,33669) = ( 33665 × 33669) / 1
LCM(33665,33669) = 1133466885 / 1
LCM(33665,33669) = 1133466885
Least Common Multiple (LCM) of 33665 and 33669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33665 and 33669. First we will calculate the prime factors of 33665 and 33669.
Prime Factorization of 33665
Prime factors of 33665 are 5, 6733. Prime factorization of 33665 in exponential form is:
33665 = 51 × 67331
Prime Factorization of 33669
Prime factors of 33669 are 3, 29, 43. Prime factorization of 33669 in exponential form is:
33669 = 33 × 291 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 33665 and 33669.
LCM(33665,33669) = 51 × 67331 × 33 × 291 × 431
LCM(33665,33669) = 1133466885
Related Least Common Multiples of 33665
- LCM of 33665 and 33669
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Related Least Common Multiples of 33669
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