Least Common Multiple of 3269 and 3276

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 3276 the smallest integer that is 1529892 that is divisible by both numbers.

Least Common Multiple (LCM) of 3269 and 3276 is 1529892.

LCM(3269,3276) = 1529892

LCM of 3269 and 3276

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

LCM of:
and

Least Common Multiple of 3269 and 3276

LCM of 3269 and 3276 is 1529892

Least common multiple can be found by multiplying the highest exponent prime factors of 3269 and 3276. First we will calculate the prime factors of 3269 and 3276.

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 3276


2 3276
2 1638
3 819
3 273
7 91
13 13
1

Prime factors of 3276 are 2, 3, 7,13. Prime factorization of 3276 in exponential form is:

3276 = 22×32×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3269 and 3276.

LCM(3269,3276) = 22×32×71×131×4671
LCM(3269,3276) = 1529892

Factors of 3269

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

1, 7, 467, 3269

Factors of 3276

List of positive integer factors of 3276 that divides 3276 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 182, 234, 252, 273, 364, 468, 546, 819, 1092, 1638, 3276

Least Common Multiple of 3269 and 3276 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 3276, than apply into the LCM equation.

GCF(3269,3276) = 7
LCM(3269,3276) = ( 3269 × 3276) / 7
LCM(3269,3276) = 10709244 / 7
LCM(3269,3276) = 1529892

Properties of LCM 3269 and 3276

(i) The LCM of 3276 and 3269 is associative

LCM of 3269 and 3276 = LCM of 3276 and 3269

Related Least Common Multiples of 3269

Related Least Common Multiples of 3276

Frequently Asked Questions on LCM of 3269 and 3276

1. What is the LCM of 3269 and 3276?

Answer: LCM of 3269 and 3276 is 1529892.

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 3276?

Answer: Factors of 3276 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 52, 63, 78, 84, 91, 117, 126, 156, 182, 234, 252, 273, 364, 468, 546, 819, 1092, 1638, 3276. There are 36 integers that are factors of 3276. The greatest factor of 3276 is 3276.

4. How to Find the LCM of 3269 and 3276?

Answer:

Least Common Multiple of 3269 and 3276 = 1529892

Step 1: Find the prime factorization of 3269

3269 = 7 x 467

Step 2: Find the prime factorization of 3276

3276 = 2 x 2 x 3 x 3 x 7 x 13

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

LCM = 1529892 = 2 x 2 x 3 x 3 x 7 x 13 x 467

Step 4: Therefore, the least common multiple of 3269 and 3276 is 1529892.