Least Common Multiple of 6260 and 6264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6260 and 6264 the smallest integer that is 9803160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6260 and 6264 is 9803160.

LCM(6260,6264) = 9803160

LCM of 6260 and 6264

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

LCM of:
and

Least Common Multiple of 6260 and 6264

LCM of 6260 and 6264 is 9803160

Least common multiple can be found by multiplying the highest exponent prime factors of 6260 and 6264. First we will calculate the prime factors of 6260 and 6264.

Prime Factorization of 6260


2 6260
2 3130
5 1565
313 313
1

Prime factors of 6260 are 2, 5,313. Prime factorization of 6260 in exponential form is:

6260 = 22×51×3131

Prime Factorization of 6264


2 6264
2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 6264 are 2, 3,29. Prime factorization of 6264 in exponential form is:

6264 = 23×33×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6260 and 6264.

LCM(6260,6264) = 23×33×51×291×3131
LCM(6260,6264) = 9803160

Factors of 6260

List of positive integer factors of 6260 that divides 6260 without a remainder.

1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264

Least Common Multiple of 6260 and 6264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6260 and 6264, than apply into the LCM equation.

GCF(6260,6264) = 4
LCM(6260,6264) = ( 6260 × 6264) / 4
LCM(6260,6264) = 39212640 / 4
LCM(6260,6264) = 9803160

Properties of LCM 6260 and 6264

(i) The LCM of 6264 and 6260 is associative

LCM of 6260 and 6264 = LCM of 6264 and 6260

Related Least Common Multiples of 6260

Related Least Common Multiples of 6264

Frequently Asked Questions on LCM of 6260 and 6264

1. What is the LCM of 6260 and 6264?

Answer: LCM of 6260 and 6264 is 9803160.

2. What are the Factors of 6260?

Answer: Factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260. There are 12 integers that are factors of 6260. The greatest factor of 6260 is 6260.

3. What are the Factors of 6264?

Answer: Factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264. There are 32 integers that are factors of 6264. The greatest factor of 6264 is 6264.

4. How to Find the LCM of 6260 and 6264?

Answer:

Least Common Multiple of 6260 and 6264 = 9803160

Step 1: Find the prime factorization of 6260

6260 = 2 x 2 x 5 x 313

Step 2: Find the prime factorization of 6264

6264 = 2 x 2 x 2 x 3 x 3 x 3 x 29

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

LCM = 9803160 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 29 x 313

Step 4: Therefore, the least common multiple of 6260 and 6264 is 9803160.