Least Common Multiple of 8960 and 8964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8960 and 8964 the smallest integer that is 20079360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8960 and 8964 is 20079360.

LCM(8960,8964) = 20079360

LCM of 8960 and 8964

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

LCM of:
and

Least Common Multiple of 8960 and 8964

LCM of 8960 and 8964 is 20079360

Least common multiple can be found by multiplying the highest exponent prime factors of 8960 and 8964. First we will calculate the prime factors of 8960 and 8964.

Prime Factorization of 8960


2 8960
2 4480
2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 8960 are 2, 5,7. Prime factorization of 8960 in exponential form is:

8960 = 28×51×71

Prime Factorization of 8964


2 8964
2 4482
3 2241
3 747
3 249
83 83
1

Prime factors of 8964 are 2, 3,83. Prime factorization of 8964 in exponential form is:

8964 = 22×33×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8960 and 8964.

LCM(8960,8964) = 28×33×51×71×831
LCM(8960,8964) = 20079360

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964

Least Common Multiple of 8960 and 8964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8960 and 8964, than apply into the LCM equation.

GCF(8960,8964) = 4
LCM(8960,8964) = ( 8960 × 8964) / 4
LCM(8960,8964) = 80317440 / 4
LCM(8960,8964) = 20079360

Properties of LCM 8960 and 8964

(i) The LCM of 8964 and 8960 is associative

LCM of 8960 and 8964 = LCM of 8964 and 8960

Related Least Common Multiples of 8960

Related Least Common Multiples of 8964

Frequently Asked Questions on LCM of 8960 and 8964

1. What is the LCM of 8960 and 8964?

Answer: LCM of 8960 and 8964 is 20079360.

2. What are the Factors of 8960?

Answer: Factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960. There are 36 integers that are factors of 8960. The greatest factor of 8960 is 8960.

3. What are the Factors of 8964?

Answer: Factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964. There are 24 integers that are factors of 8964. The greatest factor of 8964 is 8964.

4. How to Find the LCM of 8960 and 8964?

Answer:

Least Common Multiple of 8960 and 8964 = 20079360

Step 1: Find the prime factorization of 8960

8960 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 8964

8964 = 2 x 2 x 3 x 3 x 3 x 83

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

LCM = 20079360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 83

Step 4: Therefore, the least common multiple of 8960 and 8964 is 20079360.