Least Common Multiple of 8964 and 8972

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 8972 the smallest integer that is 20106252 that is divisible by both numbers.

Least Common Multiple (LCM) of 8964 and 8972 is 20106252.

LCM(8964,8972) = 20106252

LCM of 8964 and 8972

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

LCM of:
and

Least Common Multiple of 8964 and 8972

LCM of 8964 and 8972 is 20106252

Least common multiple can be found by multiplying the highest exponent prime factors of 8964 and 8972. First we will calculate the prime factors of 8964 and 8972.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8964 and 8972.

LCM(8964,8972) = 22×33×831×22431
LCM(8964,8972) = 20106252

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 8972

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

1, 2, 4, 2243, 4486, 8972

Least Common Multiple of 8964 and 8972 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 8972, than apply into the LCM equation.

GCF(8964,8972) = 4
LCM(8964,8972) = ( 8964 × 8972) / 4
LCM(8964,8972) = 80425008 / 4
LCM(8964,8972) = 20106252

Properties of LCM 8964 and 8972

(i) The LCM of 8972 and 8964 is associative

LCM of 8964 and 8972 = LCM of 8972 and 8964

Related Least Common Multiples of 8964

Related Least Common Multiples of 8972

Frequently Asked Questions on LCM of 8964 and 8972

1. What is the LCM of 8964 and 8972?

Answer: LCM of 8964 and 8972 is 20106252.

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 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.

4. How to Find the LCM of 8964 and 8972?

Answer:

Least Common Multiple of 8964 and 8972 = 20106252

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 8972

8972 = 2 x 2 x 2243

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

LCM = 20106252 = 2 x 2 x 3 x 3 x 3 x 83 x 2243

Step 4: Therefore, the least common multiple of 8964 and 8972 is 20106252.