Least Common Multiple of 8964 and 8969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8964 and 8969 the smallest integer that is 80398116 that is divisible by both numbers.

Least Common Multiple (LCM) of 8964 and 8969 is 80398116.

LCM(8964,8969) = 80398116

LCM of 8964 and 8969

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

LCM of:
and

Least Common Multiple of 8964 and 8969

LCM of 8964 and 8969 is 80398116

Least common multiple can be found by multiplying the highest exponent prime factors of 8964 and 8969. First we will calculate the prime factors of 8964 and 8969.

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

Prime Factorization of 8969


8969 8969
1

Prime factors of 8969 are 8969. Prime factorization of 8969 in exponential form is:

8969 = 89691

Now multiplying the highest exponent prime factors to calculate the LCM of 8964 and 8969.

LCM(8964,8969) = 22×33×831×89691
LCM(8964,8969) = 80398116

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

Factors of 8969

List of positive integer factors of 8969 that divides 8969 without a remainder.

1, 8969

Least Common Multiple of 8964 and 8969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8964 and 8969, than apply into the LCM equation.

GCF(8964,8969) = 1
LCM(8964,8969) = ( 8964 × 8969) / 1
LCM(8964,8969) = 80398116 / 1
LCM(8964,8969) = 80398116

Properties of LCM 8964 and 8969

(i) The LCM of 8969 and 8964 is associative

LCM of 8964 and 8969 = LCM of 8969 and 8964

Related Least Common Multiples of 8964

Related Least Common Multiples of 8969

Frequently Asked Questions on LCM of 8964 and 8969

1. What is the LCM of 8964 and 8969?

Answer: LCM of 8964 and 8969 is 80398116.

2. 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.

3. What are the Factors of 8969?

Answer: Factors of 8969 are 1, 8969. There are 2 integers that are factors of 8969. The greatest factor of 8969 is 8969.

4. How to Find the LCM of 8964 and 8969?

Answer:

Least Common Multiple of 8964 and 8969 = 80398116

Step 1: Find the prime factorization of 8964

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

Step 2: Find the prime factorization of 8969

8969 = 8969

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

LCM = 80398116 = 2 x 2 x 3 x 3 x 3 x 83 x 8969

Step 4: Therefore, the least common multiple of 8964 and 8969 is 80398116.