Least Common Multiple of 8972 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 8972 and 8976 the smallest integer that is 20133168 that is divisible by both numbers.

Least Common Multiple (LCM) of 8972 and 8976 is 20133168.

LCM(8972,8976) = 20133168

LCM of 8972 and 8976

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

LCM of:
and

Least Common Multiple of 8972 and 8976

LCM of 8972 and 8976 is 20133168

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8976. First we will calculate the prime factors of 8972 and 8976.

Prime Factorization of 8972


2 8972
2 4486
2243 2243
1

Prime factors of 8972 are 2,2243. Prime factorization of 8972 in exponential form is:

8972 = 22×22431

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 8972 and 8976.

LCM(8972,8976) = 24×31×111×171×22431
LCM(8972,8976) = 20133168

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1, 2, 4, 2243, 4486, 8972

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 8972 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 8972 and 8976, than apply into the LCM equation.

GCF(8972,8976) = 4
LCM(8972,8976) = ( 8972 × 8976) / 4
LCM(8972,8976) = 80532672 / 4
LCM(8972,8976) = 20133168

Properties of LCM 8972 and 8976

(i) The LCM of 8976 and 8972 is associative

LCM of 8972 and 8976 = LCM of 8976 and 8972

Related Least Common Multiples of 8972

Related Least Common Multiples of 8976

Frequently Asked Questions on LCM of 8972 and 8976

1. What is the LCM of 8972 and 8976?

Answer: LCM of 8972 and 8976 is 20133168.

2. What are the Factors of 8972?

Answer: Factors of 8972 are 1, 2, 4, 2243, 4486, 8972. There are 6 integers that are factors of 8972. The greatest factor of 8972 is 8972.

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 8972 and 8976?

Answer:

Least Common Multiple of 8972 and 8976 = 20133168

Step 1: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

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 = 20133168 = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 2243

Step 4: Therefore, the least common multiple of 8972 and 8976 is 20133168.