Least Common Multiple of 8960 and 8966

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 8966 the smallest integer that is 40167680 that is divisible by both numbers.

Least Common Multiple (LCM) of 8960 and 8966 is 40167680.

LCM(8960,8966) = 40167680

LCM of 8960 and 8966

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

LCM of:
and

Least Common Multiple of 8960 and 8966

LCM of 8960 and 8966 is 40167680

Least common multiple can be found by multiplying the highest exponent prime factors of 8960 and 8966. First we will calculate the prime factors of 8960 and 8966.

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 8966


2 8966
4483 4483
1

Prime factors of 8966 are 2,4483. Prime factorization of 8966 in exponential form is:

8966 = 21×44831

Now multiplying the highest exponent prime factors to calculate the LCM of 8960 and 8966.

LCM(8960,8966) = 28×51×71×44831
LCM(8960,8966) = 40167680

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 8966

List of positive integer factors of 8966 that divides 8966 without a remainder.

1, 2, 4483, 8966

Least Common Multiple of 8960 and 8966 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 8966, than apply into the LCM equation.

GCF(8960,8966) = 2
LCM(8960,8966) = ( 8960 × 8966) / 2
LCM(8960,8966) = 80335360 / 2
LCM(8960,8966) = 40167680

Properties of LCM 8960 and 8966

(i) The LCM of 8966 and 8960 is associative

LCM of 8960 and 8966 = LCM of 8966 and 8960

Related Least Common Multiples of 8960

Related Least Common Multiples of 8966

Frequently Asked Questions on LCM of 8960 and 8966

1. What is the LCM of 8960 and 8966?

Answer: LCM of 8960 and 8966 is 40167680.

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 8966?

Answer: Factors of 8966 are 1, 2, 4483, 8966. There are 4 integers that are factors of 8966. The greatest factor of 8966 is 8966.

4. How to Find the LCM of 8960 and 8966?

Answer:

Least Common Multiple of 8960 and 8966 = 40167680

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 8966

8966 = 2 x 4483

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

LCM = 40167680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 4483

Step 4: Therefore, the least common multiple of 8960 and 8966 is 40167680.