Least Common Multiple of 6264 and 6269

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 6269 the smallest integer that is 39269016 that is divisible by both numbers.

Least Common Multiple (LCM) of 6264 and 6269 is 39269016.

LCM(6264,6269) = 39269016

LCM of 6264 and 6269

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

LCM of:
and

Least Common Multiple of 6264 and 6269

LCM of 6264 and 6269 is 39269016

Least common multiple can be found by multiplying the highest exponent prime factors of 6264 and 6269. First we will calculate the prime factors of 6264 and 6269.

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 6269


6269 6269
1

Prime factors of 6269 are 6269. Prime factorization of 6269 in exponential form is:

6269 = 62691

Now multiplying the highest exponent prime factors to calculate the LCM of 6264 and 6269.

LCM(6264,6269) = 23×33×291×62691
LCM(6264,6269) = 39269016

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 6269

List of positive integer factors of 6269 that divides 6269 without a remainder.

1, 6269

Least Common Multiple of 6264 and 6269 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 6269, than apply into the LCM equation.

GCF(6264,6269) = 1
LCM(6264,6269) = ( 6264 × 6269) / 1
LCM(6264,6269) = 39269016 / 1
LCM(6264,6269) = 39269016

Properties of LCM 6264 and 6269

(i) The LCM of 6269 and 6264 is associative

LCM of 6264 and 6269 = LCM of 6269 and 6264

Related Least Common Multiples of 6264

Related Least Common Multiples of 6269

Frequently Asked Questions on LCM of 6264 and 6269

1. What is the LCM of 6264 and 6269?

Answer: LCM of 6264 and 6269 is 39269016.

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 6269?

Answer: Factors of 6269 are 1, 6269. There are 2 integers that are factors of 6269. The greatest factor of 6269 is 6269.

4. How to Find the LCM of 6264 and 6269?

Answer:

Least Common Multiple of 6264 and 6269 = 39269016

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 6269

6269 = 6269

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

LCM = 39269016 = 2 x 2 x 2 x 3 x 3 x 3 x 29 x 6269

Step 4: Therefore, the least common multiple of 6264 and 6269 is 39269016.