Least Common Multiple of 3269 and 3277

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 3277 the smallest integer that is 10712513 that is divisible by both numbers.

Least Common Multiple (LCM) of 3269 and 3277 is 10712513.

LCM(3269,3277) = 10712513

LCM of 3269 and 3277

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

LCM of:
and

Least Common Multiple of 3269 and 3277

LCM of 3269 and 3277 is 10712513

Least common multiple can be found by multiplying the highest exponent prime factors of 3269 and 3277. First we will calculate the prime factors of 3269 and 3277.

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 3277


29 3277
113 113
1

Prime factors of 3277 are 29,113. Prime factorization of 3277 in exponential form is:

3277 = 291×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3269 and 3277.

LCM(3269,3277) = 71×291×1131×4671
LCM(3269,3277) = 10712513

Factors of 3269

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

1, 7, 467, 3269

Factors of 3277

List of positive integer factors of 3277 that divides 3277 without a remainder.

1, 29, 113, 3277

Least Common Multiple of 3269 and 3277 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 3277, than apply into the LCM equation.

GCF(3269,3277) = 1
LCM(3269,3277) = ( 3269 × 3277) / 1
LCM(3269,3277) = 10712513 / 1
LCM(3269,3277) = 10712513

Properties of LCM 3269 and 3277

(i) The LCM of 3277 and 3269 is associative

LCM of 3269 and 3277 = LCM of 3277 and 3269

Related Least Common Multiples of 3269

Related Least Common Multiples of 3277

Frequently Asked Questions on LCM of 3269 and 3277

1. What is the LCM of 3269 and 3277?

Answer: LCM of 3269 and 3277 is 10712513.

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 3277?

Answer: Factors of 3277 are 1, 29, 113, 3277. There are 4 integers that are factors of 3277. The greatest factor of 3277 is 3277.

4. How to Find the LCM of 3269 and 3277?

Answer:

Least Common Multiple of 3269 and 3277 = 10712513

Step 1: Find the prime factorization of 3269

3269 = 7 x 467

Step 2: Find the prime factorization of 3277

3277 = 29 x 113

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

LCM = 10712513 = 7 x 29 x 113 x 467

Step 4: Therefore, the least common multiple of 3269 and 3277 is 10712513.