Least Common Multiple of 8969 and 8976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8969 and 8976 the smallest integer that is 80505744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8969 and 8976 is 80505744.

LCM(8969,8976) = 80505744

LCM of 8969 and 8976

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

LCM of:
and

Least Common Multiple of 8969 and 8976

LCM of 8969 and 8976 is 80505744

Least common multiple can be found by multiplying the highest exponent prime factors of 8969 and 8976. First we will calculate the prime factors of 8969 and 8976.

Prime Factorization of 8969


8969 8969
1

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

8969 = 89691

Prime Factorization of 8976


2 8976
2 4488
2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 8976 are 2, 3, 11,17. Prime factorization of 8976 in exponential form is:

8976 = 24×31×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8969 and 8976.

LCM(8969,8976) = 24×31×111×171×89691
LCM(8969,8976) = 80505744

Factors of 8969

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

1, 8969

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976

Least Common Multiple of 8969 and 8976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8969 and 8976, than apply into the LCM equation.

GCF(8969,8976) = 1
LCM(8969,8976) = ( 8969 × 8976) / 1
LCM(8969,8976) = 80505744 / 1
LCM(8969,8976) = 80505744

Properties of LCM 8969 and 8976

(i) The LCM of 8976 and 8969 is associative

LCM of 8969 and 8976 = LCM of 8976 and 8969

Related Least Common Multiples of 8969

Related Least Common Multiples of 8976

Frequently Asked Questions on LCM of 8969 and 8976

1. What is the LCM of 8969 and 8976?

Answer: LCM of 8969 and 8976 is 80505744.

2. 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.

3. What are the Factors of 8976?

Answer: Factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976. There are 40 integers that are factors of 8976. The greatest factor of 8976 is 8976.

4. How to Find the LCM of 8969 and 8976?

Answer:

Least Common Multiple of 8969 and 8976 = 80505744

Step 1: Find the prime factorization of 8969

8969 = 8969

Step 2: Find the prime factorization of 8976

8976 = 2 x 2 x 2 x 2 x 3 x 11 x 17

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

LCM = 80505744 = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 8969

Step 4: Therefore, the least common multiple of 8969 and 8976 is 80505744.