Least Common Multiple of 4864 and 4872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4864 and 4872 the smallest integer that is 2962176 that is divisible by both numbers.

Least Common Multiple (LCM) of 4864 and 4872 is 2962176.

LCM(4864,4872) = 2962176

LCM of 4864 and 4872

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

LCM of:
and

Least Common Multiple of 4864 and 4872

LCM of 4864 and 4872 is 2962176

Least common multiple can be found by multiplying the highest exponent prime factors of 4864 and 4872. First we will calculate the prime factors of 4864 and 4872.

Prime Factorization of 4864


2 4864
2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 4864 are 2,19. Prime factorization of 4864 in exponential form is:

4864 = 28×191

Prime Factorization of 4872


2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 4872 are 2, 3, 7,29. Prime factorization of 4872 in exponential form is:

4872 = 23×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4864 and 4872.

LCM(4864,4872) = 28×31×71×191×291
LCM(4864,4872) = 2962176

Factors of 4864

List of positive integer factors of 4864 that divides 4864 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872

Least Common Multiple of 4864 and 4872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4864 and 4872, than apply into the LCM equation.

GCF(4864,4872) = 8
LCM(4864,4872) = ( 4864 × 4872) / 8
LCM(4864,4872) = 23697408 / 8
LCM(4864,4872) = 2962176

Properties of LCM 4864 and 4872

(i) The LCM of 4872 and 4864 is associative

LCM of 4864 and 4872 = LCM of 4872 and 4864

Related Least Common Multiples of 4864

Related Least Common Multiples of 4872

Frequently Asked Questions on LCM of 4864 and 4872

1. What is the LCM of 4864 and 4872?

Answer: LCM of 4864 and 4872 is 2962176.

2. What are the Factors of 4864?

Answer: Factors of 4864 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 608, 1216, 2432, 4864. There are 18 integers that are factors of 4864. The greatest factor of 4864 is 4864.

3. What are the Factors of 4872?

Answer: Factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872. There are 32 integers that are factors of 4872. The greatest factor of 4872 is 4872.

4. How to Find the LCM of 4864 and 4872?

Answer:

Least Common Multiple of 4864 and 4872 = 2962176

Step 1: Find the prime factorization of 4864

4864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 4872

4872 = 2 x 2 x 2 x 3 x 7 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 = 2962176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 4864 and 4872 is 2962176.