Least Common Multiple of 3246 and 3254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 3246 and 3254 the smallest integer that is 5281242 that is divisible by both numbers.

Least Common Multiple (LCM) of 3246 and 3254 is 5281242.

LCM(3246,3254) = 5281242

LCM of 3246 and 3254

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

LCM of:
and

Least Common Multiple of 3246 and 3254

LCM of 3246 and 3254 is 5281242

Least common multiple can be found by multiplying the highest exponent prime factors of 3246 and 3254. First we will calculate the prime factors of 3246 and 3254.

Prime Factorization of 3246


2 3246
3 1623
541 541
1

Prime factors of 3246 are 2, 3,541. Prime factorization of 3246 in exponential form is:

3246 = 21×31×5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3246 and 3254.

LCM(3246,3254) = 21×31×5411×16271
LCM(3246,3254) = 5281242

Factors of 3246

List of positive integer factors of 3246 that divides 3246 without a remainder.

1, 2, 3, 6, 541, 1082, 1623, 3246

Factors of 3254

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

1, 2, 1627, 3254

Least Common Multiple of 3246 and 3254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3246 and 3254, than apply into the LCM equation.

GCF(3246,3254) = 2
LCM(3246,3254) = ( 3246 × 3254) / 2
LCM(3246,3254) = 10562484 / 2
LCM(3246,3254) = 5281242

Properties of LCM 3246 and 3254

(i) The LCM of 3254 and 3246 is associative

LCM of 3246 and 3254 = LCM of 3254 and 3246

Frequently Asked Questions on LCM of 3246 and 3254

1. What is the LCM of 3246 and 3254?

Answer: LCM of 3246 and 3254 is 5281242.

2. What are the Factors of 3246?

Answer: Factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246. There are 8 integers that are factors of 3246. The greatest factor of 3246 is 3246.

3. 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.

4. How to Find the LCM of 3246 and 3254?

Answer:

Least Common Multiple of 3246 and 3254 = 5281242

Step 1: Find the prime factorization of 3246

3246 = 2 x 3 x 541

Step 2: Find the prime factorization of 3254

3254 = 2 x 1627

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

LCM = 5281242 = 2 x 3 x 541 x 1627

Step 4: Therefore, the least common multiple of 3246 and 3254 is 5281242.