Least Common Multiple of 3262 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 3262 and 3267 the smallest integer that is 10656954 that is divisible by both numbers.

Least Common Multiple (LCM) of 3262 and 3267 is 10656954.

LCM(3262,3267) = 10656954

LCM of 3262 and 3267

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

LCM of:
and

Least Common Multiple of 3262 and 3267

LCM of 3262 and 3267 is 10656954

Least common multiple can be found by multiplying the highest exponent prime factors of 3262 and 3267. First we will calculate the prime factors of 3262 and 3267.

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 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 3262 and 3267.

LCM(3262,3267) = 21×33×71×112×2331
LCM(3262,3267) = 10656954

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 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 3262 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 3262 and 3267, than apply into the LCM equation.

GCF(3262,3267) = 1
LCM(3262,3267) = ( 3262 × 3267) / 1
LCM(3262,3267) = 10656954 / 1
LCM(3262,3267) = 10656954

Properties of LCM 3262 and 3267

(i) The LCM of 3267 and 3262 is associative

LCM of 3262 and 3267 = LCM of 3267 and 3262

Related Least Common Multiples of 3262

Related Least Common Multiples of 3267

Frequently Asked Questions on LCM of 3262 and 3267

1. What is the LCM of 3262 and 3267?

Answer: LCM of 3262 and 3267 is 10656954.

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 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 3262 and 3267?

Answer:

Least Common Multiple of 3262 and 3267 = 10656954

Step 1: Find the prime factorization of 3262

3262 = 2 x 7 x 233

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 = 10656954 = 2 x 3 x 3 x 3 x 7 x 11 x 11 x 233

Step 4: Therefore, the least common multiple of 3262 and 3267 is 10656954.