Least Common Multiple of 3260 and 3267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3260 and 3267 the smallest integer that is 10650420 that is divisible by both numbers.

Least Common Multiple (LCM) of 3260 and 3267 is 10650420.

LCM(3260,3267) = 10650420

LCM of 3260 and 3267

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

LCM of:
and

Least Common Multiple of 3260 and 3267

LCM of 3260 and 3267 is 10650420

Least common multiple can be found by multiplying the highest exponent prime factors of 3260 and 3267. First we will calculate the prime factors of 3260 and 3267.

Prime Factorization of 3260


2 3260
2 1630
5 815
163 163
1

Prime factors of 3260 are 2, 5,163. Prime factorization of 3260 in exponential form is:

3260 = 22×51×1631

Prime Factorization of 3267


3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 3267 are 3,11. Prime factorization of 3267 in exponential form is:

3267 = 33×112

Now multiplying the highest exponent prime factors to calculate the LCM of 3260 and 3267.

LCM(3260,3267) = 22×33×51×112×1631
LCM(3260,3267) = 10650420

Factors of 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260

Factors of 3267

List of positive integer factors of 3267 that divides 3267 without a remainder.

1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267

Least Common Multiple of 3260 and 3267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3260 and 3267, than apply into the LCM equation.

GCF(3260,3267) = 1
LCM(3260,3267) = ( 3260 × 3267) / 1
LCM(3260,3267) = 10650420 / 1
LCM(3260,3267) = 10650420

Properties of LCM 3260 and 3267

(i) The LCM of 3267 and 3260 is associative

LCM of 3260 and 3267 = LCM of 3267 and 3260

Related Least Common Multiples of 3260

Related Least Common Multiples of 3267

Frequently Asked Questions on LCM of 3260 and 3267

1. What is the LCM of 3260 and 3267?

Answer: LCM of 3260 and 3267 is 10650420.

2. What are the Factors of 3260?

Answer: Factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260. There are 12 integers that are factors of 3260. The greatest factor of 3260 is 3260.

3. What are the Factors of 3267?

Answer: Factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267. There are 12 integers that are factors of 3267. The greatest factor of 3267 is 3267.

4. How to Find the LCM of 3260 and 3267?

Answer:

Least Common Multiple of 3260 and 3267 = 10650420

Step 1: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

Step 2: Find the prime factorization of 3267

3267 = 3 x 3 x 3 x 11 x 11

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

LCM = 10650420 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 11 x 163

Step 4: Therefore, the least common multiple of 3260 and 3267 is 10650420.