Least Common Multiple of 5120 and 5124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5120 and 5124 the smallest integer that is 6558720 that is divisible by both numbers.

Least Common Multiple (LCM) of 5120 and 5124 is 6558720.

LCM(5120,5124) = 6558720

LCM of 5120 and 5124

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

LCM of:
and

Least Common Multiple of 5120 and 5124

LCM of 5120 and 5124 is 6558720

Least common multiple can be found by multiplying the highest exponent prime factors of 5120 and 5124. First we will calculate the prime factors of 5120 and 5124.

Prime Factorization of 5120


2 5120
2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 5120 are 2,5. Prime factorization of 5120 in exponential form is:

5120 = 210×51

Prime Factorization of 5124


2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 5124 are 2, 3, 7,61. Prime factorization of 5124 in exponential form is:

5124 = 22×31×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5120 and 5124.

LCM(5120,5124) = 210×31×51×71×611
LCM(5120,5124) = 6558720

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124

Least Common Multiple of 5120 and 5124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5120 and 5124, than apply into the LCM equation.

GCF(5120,5124) = 4
LCM(5120,5124) = ( 5120 × 5124) / 4
LCM(5120,5124) = 26234880 / 4
LCM(5120,5124) = 6558720

Properties of LCM 5120 and 5124

(i) The LCM of 5124 and 5120 is associative

LCM of 5120 and 5124 = LCM of 5124 and 5120

Related Least Common Multiples of 5120

Related Least Common Multiples of 5124

Frequently Asked Questions on LCM of 5120 and 5124

1. What is the LCM of 5120 and 5124?

Answer: LCM of 5120 and 5124 is 6558720.

2. What are the Factors of 5120?

Answer: Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. There are 22 integers that are factors of 5120. The greatest factor of 5120 is 5120.

3. What are the Factors of 5124?

Answer: Factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124. There are 24 integers that are factors of 5124. The greatest factor of 5124 is 5124.

4. How to Find the LCM of 5120 and 5124?

Answer:

Least Common Multiple of 5120 and 5124 = 6558720

Step 1: Find the prime factorization of 5120

5120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 5124

5124 = 2 x 2 x 3 x 7 x 61

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

LCM = 6558720 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 61

Step 4: Therefore, the least common multiple of 5120 and 5124 is 6558720.