Least Common Multiple of 3269 and 3273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3269 and 3273 the smallest integer that is 10699437 that is divisible by both numbers.

Least Common Multiple (LCM) of 3269 and 3273 is 10699437.

LCM(3269,3273) = 10699437

LCM of 3269 and 3273

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

LCM of:
and

Least Common Multiple of 3269 and 3273

LCM of 3269 and 3273 is 10699437

Least common multiple can be found by multiplying the highest exponent prime factors of 3269 and 3273. First we will calculate the prime factors of 3269 and 3273.

Prime Factorization of 3269


7 3269
467 467
1

Prime factors of 3269 are 7,467. Prime factorization of 3269 in exponential form is:

3269 = 71×4671

Prime Factorization of 3273


3 3273
1091 1091
1

Prime factors of 3273 are 3,1091. Prime factorization of 3273 in exponential form is:

3273 = 31×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 3269 and 3273.

LCM(3269,3273) = 31×71×4671×10911
LCM(3269,3273) = 10699437

Factors of 3269

List of positive integer factors of 3269 that divides 3269 without a remainder.

1, 7, 467, 3269

Factors of 3273

List of positive integer factors of 3273 that divides 3273 without a remainder.

1, 3, 1091, 3273

Least Common Multiple of 3269 and 3273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3269 and 3273, than apply into the LCM equation.

GCF(3269,3273) = 1
LCM(3269,3273) = ( 3269 × 3273) / 1
LCM(3269,3273) = 10699437 / 1
LCM(3269,3273) = 10699437

Properties of LCM 3269 and 3273

(i) The LCM of 3273 and 3269 is associative

LCM of 3269 and 3273 = LCM of 3273 and 3269

Related Least Common Multiples of 3269

Related Least Common Multiples of 3273

Frequently Asked Questions on LCM of 3269 and 3273

1. What is the LCM of 3269 and 3273?

Answer: LCM of 3269 and 3273 is 10699437.

2. What are the Factors of 3269?

Answer: Factors of 3269 are 1, 7, 467, 3269. There are 4 integers that are factors of 3269. The greatest factor of 3269 is 3269.

3. What are the Factors of 3273?

Answer: Factors of 3273 are 1, 3, 1091, 3273. There are 4 integers that are factors of 3273. The greatest factor of 3273 is 3273.

4. How to Find the LCM of 3269 and 3273?

Answer:

Least Common Multiple of 3269 and 3273 = 10699437

Step 1: Find the prime factorization of 3269

3269 = 7 x 467

Step 2: Find the prime factorization of 3273

3273 = 3 x 1091

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

LCM = 10699437 = 3 x 7 x 467 x 1091

Step 4: Therefore, the least common multiple of 3269 and 3273 is 10699437.