Least Common Multiple of 6264 and 6270

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 6270 the smallest integer that is 6545880 that is divisible by both numbers.

Least Common Multiple (LCM) of 6264 and 6270 is 6545880.

LCM(6264,6270) = 6545880

LCM of 6264 and 6270

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

LCM of:
and

Least Common Multiple of 6264 and 6270

LCM of 6264 and 6270 is 6545880

Least common multiple can be found by multiplying the highest exponent prime factors of 6264 and 6270. First we will calculate the prime factors of 6264 and 6270.

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 6270


2 6270
3 3135
5 1045
11 209
19 19
1

Prime factors of 6270 are 2, 3, 5, 11,19. Prime factorization of 6270 in exponential form is:

6270 = 21×31×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6264 and 6270.

LCM(6264,6270) = 23×33×51×111×191×291
LCM(6264,6270) = 6545880

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 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270

Least Common Multiple of 6264 and 6270 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 6270, than apply into the LCM equation.

GCF(6264,6270) = 6
LCM(6264,6270) = ( 6264 × 6270) / 6
LCM(6264,6270) = 39275280 / 6
LCM(6264,6270) = 6545880

Properties of LCM 6264 and 6270

(i) The LCM of 6270 and 6264 is associative

LCM of 6264 and 6270 = LCM of 6270 and 6264

Related Least Common Multiples of 6264

Related Least Common Multiples of 6270

Frequently Asked Questions on LCM of 6264 and 6270

1. What is the LCM of 6264 and 6270?

Answer: LCM of 6264 and 6270 is 6545880.

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 6270?

Answer: Factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270. There are 32 integers that are factors of 6270. The greatest factor of 6270 is 6270.

4. How to Find the LCM of 6264 and 6270?

Answer:

Least Common Multiple of 6264 and 6270 = 6545880

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 6270

6270 = 2 x 3 x 5 x 11 x 19

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

LCM = 6545880 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 6264 and 6270 is 6545880.