Least Common Multiple of 3262 and 3268

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 3268 the smallest integer that is 5330108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3262 and 3268 is 5330108.

LCM(3262,3268) = 5330108

LCM of 3262 and 3268

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

LCM of:
and

Least Common Multiple of 3262 and 3268

LCM of 3262 and 3268 is 5330108

Least common multiple can be found by multiplying the highest exponent prime factors of 3262 and 3268. First we will calculate the prime factors of 3262 and 3268.

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 3268


2 3268
2 1634
19 817
43 43
1

Prime factors of 3268 are 2, 19,43. Prime factorization of 3268 in exponential form is:

3268 = 22×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3262 and 3268.

LCM(3262,3268) = 22×71×191×431×2331
LCM(3262,3268) = 5330108

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 3268

List of positive integer factors of 3268 that divides 3268 without a remainder.

1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268

Least Common Multiple of 3262 and 3268 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 3268, than apply into the LCM equation.

GCF(3262,3268) = 2
LCM(3262,3268) = ( 3262 × 3268) / 2
LCM(3262,3268) = 10660216 / 2
LCM(3262,3268) = 5330108

Properties of LCM 3262 and 3268

(i) The LCM of 3268 and 3262 is associative

LCM of 3262 and 3268 = LCM of 3268 and 3262

Related Least Common Multiples of 3262

Related Least Common Multiples of 3268

Frequently Asked Questions on LCM of 3262 and 3268

1. What is the LCM of 3262 and 3268?

Answer: LCM of 3262 and 3268 is 5330108.

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 3268?

Answer: Factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268. There are 12 integers that are factors of 3268. The greatest factor of 3268 is 3268.

4. How to Find the LCM of 3262 and 3268?

Answer:

Least Common Multiple of 3262 and 3268 = 5330108

Step 1: Find the prime factorization of 3262

3262 = 2 x 7 x 233

Step 2: Find the prime factorization of 3268

3268 = 2 x 2 x 19 x 43

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

LCM = 5330108 = 2 x 2 x 7 x 19 x 43 x 233

Step 4: Therefore, the least common multiple of 3262 and 3268 is 5330108.