Least Common Multiple of 3254 and 3262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3254 and 3262 the smallest integer that is 5307274 that is divisible by both numbers.

Least Common Multiple (LCM) of 3254 and 3262 is 5307274.

LCM(3254,3262) = 5307274

LCM of 3254 and 3262

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

LCM of:
and

Least Common Multiple of 3254 and 3262

LCM of 3254 and 3262 is 5307274

Least common multiple can be found by multiplying the highest exponent prime factors of 3254 and 3262. First we will calculate the prime factors of 3254 and 3262.

Prime Factorization of 3254


2 3254
1627 1627
1

Prime factors of 3254 are 2,1627. Prime factorization of 3254 in exponential form is:

3254 = 21×16271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3254 and 3262.

LCM(3254,3262) = 21×71×2331×16271
LCM(3254,3262) = 5307274

Factors of 3254

List of positive integer factors of 3254 that divides 3254 without a remainder.

1, 2, 1627, 3254

Factors of 3262

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

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

Least Common Multiple of 3254 and 3262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3254 and 3262, than apply into the LCM equation.

GCF(3254,3262) = 2
LCM(3254,3262) = ( 3254 × 3262) / 2
LCM(3254,3262) = 10614548 / 2
LCM(3254,3262) = 5307274

Properties of LCM 3254 and 3262

(i) The LCM of 3262 and 3254 is associative

LCM of 3254 and 3262 = LCM of 3262 and 3254

Related Least Common Multiples of 3254

Related Least Common Multiples of 3262

Frequently Asked Questions on LCM of 3254 and 3262

1. What is the LCM of 3254 and 3262?

Answer: LCM of 3254 and 3262 is 5307274.

2. What are the Factors of 3254?

Answer: Factors of 3254 are 1, 2, 1627, 3254. There are 4 integers that are factors of 3254. The greatest factor of 3254 is 3254.

3. 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.

4. How to Find the LCM of 3254 and 3262?

Answer:

Least Common Multiple of 3254 and 3262 = 5307274

Step 1: Find the prime factorization of 3254

3254 = 2 x 1627

Step 2: Find the prime factorization of 3262

3262 = 2 x 7 x 233

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

LCM = 5307274 = 2 x 7 x 233 x 1627

Step 4: Therefore, the least common multiple of 3254 and 3262 is 5307274.