Least Common Multiple of 3262 and 3266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3262 and 3266 the smallest integer that is 5326846 that is divisible by both numbers.

Least Common Multiple (LCM) of 3262 and 3266 is 5326846.

LCM(3262,3266) = 5326846

LCM of 3262 and 3266

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

LCM of:
and

Least Common Multiple of 3262 and 3266

LCM of 3262 and 3266 is 5326846

Least common multiple can be found by multiplying the highest exponent prime factors of 3262 and 3266. First we will calculate the prime factors of 3262 and 3266.

Prime Factorization of 3262


2 3262
7 1631
233 233
1

Prime factors of 3262 are 2, 7,233. Prime factorization of 3262 in exponential form is:

3262 = 21×71×2331

Prime Factorization of 3266


2 3266
23 1633
71 71
1

Prime factors of 3266 are 2, 23,71. Prime factorization of 3266 in exponential form is:

3266 = 21×231×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3262 and 3266.

LCM(3262,3266) = 21×71×231×711×2331
LCM(3262,3266) = 5326846

Factors of 3262

List of positive integer factors of 3262 that divides 3262 without a remainder.

1, 2, 7, 14, 233, 466, 1631, 3262

Factors of 3266

List of positive integer factors of 3266 that divides 3266 without a remainder.

1, 2, 23, 46, 71, 142, 1633, 3266

Least Common Multiple of 3262 and 3266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3262 and 3266, than apply into the LCM equation.

GCF(3262,3266) = 2
LCM(3262,3266) = ( 3262 × 3266) / 2
LCM(3262,3266) = 10653692 / 2
LCM(3262,3266) = 5326846

Properties of LCM 3262 and 3266

(i) The LCM of 3266 and 3262 is associative

LCM of 3262 and 3266 = LCM of 3266 and 3262

Related Least Common Multiples of 3262

Related Least Common Multiples of 3266

Frequently Asked Questions on LCM of 3262 and 3266

1. What is the LCM of 3262 and 3266?

Answer: LCM of 3262 and 3266 is 5326846.

2. What are the Factors of 3262?

Answer: Factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262. There are 8 integers that are factors of 3262. The greatest factor of 3262 is 3262.

3. What are the Factors of 3266?

Answer: Factors of 3266 are 1, 2, 23, 46, 71, 142, 1633, 3266. There are 8 integers that are factors of 3266. The greatest factor of 3266 is 3266.

4. How to Find the LCM of 3262 and 3266?

Answer:

Least Common Multiple of 3262 and 3266 = 5326846

Step 1: Find the prime factorization of 3262

3262 = 2 x 7 x 233

Step 2: Find the prime factorization of 3266

3266 = 2 x 23 x 71

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

LCM = 5326846 = 2 x 7 x 23 x 71 x 233

Step 4: Therefore, the least common multiple of 3262 and 3266 is 5326846.