Least Common Multiple of 3252 and 3260

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 3260 the smallest integer that is 2650380 that is divisible by both numbers.

Least Common Multiple (LCM) of 3252 and 3260 is 2650380.

LCM(3252,3260) = 2650380

LCM of 3252 and 3260

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

LCM of:
and

Least Common Multiple of 3252 and 3260

LCM of 3252 and 3260 is 2650380

Least common multiple can be found by multiplying the highest exponent prime factors of 3252 and 3260. First we will calculate the prime factors of 3252 and 3260.

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 3260


2 3260
2 1630
5 815
163 163
1

Prime factors of 3260 are 2, 5,163. Prime factorization of 3260 in exponential form is:

3260 = 22×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 3252 and 3260.

LCM(3252,3260) = 22×31×51×1631×2711
LCM(3252,3260) = 2650380

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 3260

List of positive integer factors of 3260 that divides 3260 without a remainder.

1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260

Least Common Multiple of 3252 and 3260 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 3260, than apply into the LCM equation.

GCF(3252,3260) = 4
LCM(3252,3260) = ( 3252 × 3260) / 4
LCM(3252,3260) = 10601520 / 4
LCM(3252,3260) = 2650380

Properties of LCM 3252 and 3260

(i) The LCM of 3260 and 3252 is associative

LCM of 3252 and 3260 = LCM of 3260 and 3252

Related Least Common Multiples of 3252

Related Least Common Multiples of 3260

Frequently Asked Questions on LCM of 3252 and 3260

1. What is the LCM of 3252 and 3260?

Answer: LCM of 3252 and 3260 is 2650380.

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 3260?

Answer: Factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260. There are 12 integers that are factors of 3260. The greatest factor of 3260 is 3260.

4. How to Find the LCM of 3252 and 3260?

Answer:

Least Common Multiple of 3252 and 3260 = 2650380

Step 1: Find the prime factorization of 3252

3252 = 2 x 2 x 3 x 271

Step 2: Find the prime factorization of 3260

3260 = 2 x 2 x 5 x 163

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

LCM = 2650380 = 2 x 2 x 3 x 5 x 163 x 271

Step 4: Therefore, the least common multiple of 3252 and 3260 is 2650380.