Least Common Multiple of 6264 and 6268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6264 and 6268 the smallest integer that is 9815688 that is divisible by both numbers.

Least Common Multiple (LCM) of 6264 and 6268 is 9815688.

LCM(6264,6268) = 9815688

LCM of 6264 and 6268

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

LCM of:
and

Least Common Multiple of 6264 and 6268

LCM of 6264 and 6268 is 9815688

Least common multiple can be found by multiplying the highest exponent prime factors of 6264 and 6268. First we will calculate the prime factors of 6264 and 6268.

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

Prime Factorization of 6268


2 6268
2 3134
1567 1567
1

Prime factors of 6268 are 2,1567. Prime factorization of 6268 in exponential form is:

6268 = 22×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 6264 and 6268.

LCM(6264,6268) = 23×33×291×15671
LCM(6264,6268) = 9815688

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

Factors of 6268

List of positive integer factors of 6268 that divides 6268 without a remainder.

1, 2, 4, 1567, 3134, 6268

Least Common Multiple of 6264 and 6268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6264 and 6268, than apply into the LCM equation.

GCF(6264,6268) = 4
LCM(6264,6268) = ( 6264 × 6268) / 4
LCM(6264,6268) = 39262752 / 4
LCM(6264,6268) = 9815688

Properties of LCM 6264 and 6268

(i) The LCM of 6268 and 6264 is associative

LCM of 6264 and 6268 = LCM of 6268 and 6264

Related Least Common Multiples of 6264

Related Least Common Multiples of 6268

Frequently Asked Questions on LCM of 6264 and 6268

1. What is the LCM of 6264 and 6268?

Answer: LCM of 6264 and 6268 is 9815688.

2. 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.

3. What are the Factors of 6268?

Answer: Factors of 6268 are 1, 2, 4, 1567, 3134, 6268. There are 6 integers that are factors of 6268. The greatest factor of 6268 is 6268.

4. How to Find the LCM of 6264 and 6268?

Answer:

Least Common Multiple of 6264 and 6268 = 9815688

Step 1: Find the prime factorization of 6264

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

Step 2: Find the prime factorization of 6268

6268 = 2 x 2 x 1567

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

LCM = 9815688 = 2 x 2 x 2 x 3 x 3 x 3 x 29 x 1567

Step 4: Therefore, the least common multiple of 6264 and 6268 is 9815688.