Least Common Multiple of 3252 and 3259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3252 and 3259 the smallest integer that is 10598268 that is divisible by both numbers.

Least Common Multiple (LCM) of 3252 and 3259 is 10598268.

LCM(3252,3259) = 10598268

LCM of 3252 and 3259

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

LCM of:
and

Least Common Multiple of 3252 and 3259

LCM of 3252 and 3259 is 10598268

Least common multiple can be found by multiplying the highest exponent prime factors of 3252 and 3259. First we will calculate the prime factors of 3252 and 3259.

Prime Factorization of 3252


2 3252
2 1626
3 813
271 271
1

Prime factors of 3252 are 2, 3,271. Prime factorization of 3252 in exponential form is:

3252 = 22×31×2711

Prime Factorization of 3259


3259 3259
1

Prime factors of 3259 are 3259. Prime factorization of 3259 in exponential form is:

3259 = 32591

Now multiplying the highest exponent prime factors to calculate the LCM of 3252 and 3259.

LCM(3252,3259) = 22×31×2711×32591
LCM(3252,3259) = 10598268

Factors of 3252

List of positive integer factors of 3252 that divides 3252 without a remainder.

1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252

Factors of 3259

List of positive integer factors of 3259 that divides 3259 without a remainder.

1, 3259

Least Common Multiple of 3252 and 3259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3252 and 3259, than apply into the LCM equation.

GCF(3252,3259) = 1
LCM(3252,3259) = ( 3252 × 3259) / 1
LCM(3252,3259) = 10598268 / 1
LCM(3252,3259) = 10598268

Properties of LCM 3252 and 3259

(i) The LCM of 3259 and 3252 is associative

LCM of 3252 and 3259 = LCM of 3259 and 3252

Related Least Common Multiples of 3252

Related Least Common Multiples of 3259

Frequently Asked Questions on LCM of 3252 and 3259

1. What is the LCM of 3252 and 3259?

Answer: LCM of 3252 and 3259 is 10598268.

2. What are the Factors of 3252?

Answer: Factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252. There are 12 integers that are factors of 3252. The greatest factor of 3252 is 3252.

3. What are the Factors of 3259?

Answer: Factors of 3259 are 1, 3259. There are 2 integers that are factors of 3259. The greatest factor of 3259 is 3259.

4. How to Find the LCM of 3252 and 3259?

Answer:

Least Common Multiple of 3252 and 3259 = 10598268

Step 1: Find the prime factorization of 3252

3252 = 2 x 2 x 3 x 271

Step 2: Find the prime factorization of 3259

3259 = 3259

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

LCM = 10598268 = 2 x 2 x 3 x 271 x 3259

Step 4: Therefore, the least common multiple of 3252 and 3259 is 10598268.