Least Common Multiple of 33209 and 33216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33209 and 33216 the smallest integer that is 1103070144 that is divisible by both numbers.

Least Common Multiple (LCM) of 33209 and 33216 is 1103070144.

LCM(33209,33216) = 1103070144

LCM of 33209 and 33216

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 33209 and 33216

LCM of 33209 and 33216 is 1103070144

Least common multiple can be found by multiplying the highest exponent prime factors of 33209 and 33216. First we will calculate the prime factors of 33209 and 33216.

Prime Factorization of 33209


11 33209
3019 3019
1

Prime factors of 33209 are 11,3019. Prime factorization of 33209 in exponential form is:

33209 = 111×30191

Prime Factorization of 33216


2 33216
2 16608
2 8304
2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 33216 are 2, 3,173. Prime factorization of 33216 in exponential form is:

33216 = 26×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 33209 and 33216.

LCM(33209,33216) = 26×31×111×1731×30191
LCM(33209,33216) = 1103070144

Factors of 33209

List of positive integer factors of 33209 that divides 33209 without a remainder.

1, 11, 3019, 33209

Factors of 33216

List of positive integer factors of 33216 that divides 33216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 173, 192, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608, 33216

Least Common Multiple of 33209 and 33216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33209 and 33216, than apply into the LCM equation.

GCF(33209,33216) = 1
LCM(33209,33216) = ( 33209 × 33216) / 1
LCM(33209,33216) = 1103070144 / 1
LCM(33209,33216) = 1103070144

Properties of LCM 33209 and 33216

(i) The LCM of 33216 and 33209 is associative

LCM of 33209 and 33216 = LCM of 33216 and 33209

Related Least Common Multiples of 33209

Related Least Common Multiples of 33216

Frequently Asked Questions on LCM of 33209 and 33216

1. What is the LCM of 33209 and 33216?

Answer: LCM of 33209 and 33216 is 1103070144.

2. What are the Factors of 33209?

Answer: Factors of 33209 are 1, 11, 3019, 33209. There are 4 integers that are factors of 33209. The greatest factor of 33209 is 33209.

3. What are the Factors of 33216?

Answer: Factors of 33216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 173, 192, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608, 33216. There are 28 integers that are factors of 33216. The greatest factor of 33216 is 33216.

4. How to Find the LCM of 33209 and 33216?

Answer:

Least Common Multiple of 33209 and 33216 = 1103070144

Step 1: Find the prime factorization of 33209

33209 = 11 x 3019

Step 2: Find the prime factorization of 33216

33216 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 173

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1103070144 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 173 x 3019

Step 4: Therefore, the least common multiple of 33209 and 33216 is 1103070144.