Least Common Multiple of 6258 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 6258 and 6264 the smallest integer that is 6533352 that is divisible by both numbers.

Least Common Multiple (LCM) of 6258 and 6264 is 6533352.

LCM(6258,6264) = 6533352

LCM of 6258 and 6264

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

LCM of:
and

Least Common Multiple of 6258 and 6264

LCM of 6258 and 6264 is 6533352

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6264. First we will calculate the prime factors of 6258 and 6264.

Prime Factorization of 6258


2 6258
3 3129
7 1043
149 149
1

Prime factors of 6258 are 2, 3, 7,149. Prime factorization of 6258 in exponential form is:

6258 = 21×31×71×1491

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 6258 and 6264.

LCM(6258,6264) = 23×33×71×291×1491
LCM(6258,6264) = 6533352

Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258

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 6258 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 6258 and 6264, than apply into the LCM equation.

GCF(6258,6264) = 6
LCM(6258,6264) = ( 6258 × 6264) / 6
LCM(6258,6264) = 39200112 / 6
LCM(6258,6264) = 6533352

Properties of LCM 6258 and 6264

(i) The LCM of 6264 and 6258 is associative

LCM of 6258 and 6264 = LCM of 6264 and 6258

Related Least Common Multiples of 6258

Related Least Common Multiples of 6264

Frequently Asked Questions on LCM of 6258 and 6264

1. What is the LCM of 6258 and 6264?

Answer: LCM of 6258 and 6264 is 6533352.

2. What are the Factors of 6258?

Answer: Factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258. There are 16 integers that are factors of 6258. The greatest factor of 6258 is 6258.

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 6258 and 6264?

Answer:

Least Common Multiple of 6258 and 6264 = 6533352

Step 1: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

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 = 6533352 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 29 x 149

Step 4: Therefore, the least common multiple of 6258 and 6264 is 6533352.