Least Common Multiple of 8944 and 8952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8944 and 8952 the smallest integer that is 10008336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8944 and 8952 is 10008336.

LCM(8944,8952) = 10008336

LCM of 8944 and 8952

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

LCM of:
and

Least Common Multiple of 8944 and 8952

LCM of 8944 and 8952 is 10008336

Least common multiple can be found by multiplying the highest exponent prime factors of 8944 and 8952. First we will calculate the prime factors of 8944 and 8952.

Prime Factorization of 8944


2 8944
2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 8944 are 2, 13,43. Prime factorization of 8944 in exponential form is:

8944 = 24×131×431

Prime Factorization of 8952


2 8952
2 4476
2 2238
3 1119
373 373
1

Prime factors of 8952 are 2, 3,373. Prime factorization of 8952 in exponential form is:

8952 = 23×31×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8944 and 8952.

LCM(8944,8952) = 24×31×131×431×3731
LCM(8944,8952) = 10008336

Factors of 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952

Least Common Multiple of 8944 and 8952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8944 and 8952, than apply into the LCM equation.

GCF(8944,8952) = 8
LCM(8944,8952) = ( 8944 × 8952) / 8
LCM(8944,8952) = 80066688 / 8
LCM(8944,8952) = 10008336

Properties of LCM 8944 and 8952

(i) The LCM of 8952 and 8944 is associative

LCM of 8944 and 8952 = LCM of 8952 and 8944

Related Least Common Multiples of 8944

Related Least Common Multiples of 8952

Frequently Asked Questions on LCM of 8944 and 8952

1. What is the LCM of 8944 and 8952?

Answer: LCM of 8944 and 8952 is 10008336.

2. What are the Factors of 8944?

Answer: Factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944. There are 20 integers that are factors of 8944. The greatest factor of 8944 is 8944.

3. What are the Factors of 8952?

Answer: Factors of 8952 are 1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476, 8952. There are 16 integers that are factors of 8952. The greatest factor of 8952 is 8952.

4. How to Find the LCM of 8944 and 8952?

Answer:

Least Common Multiple of 8944 and 8952 = 10008336

Step 1: Find the prime factorization of 8944

8944 = 2 x 2 x 2 x 2 x 13 x 43

Step 2: Find the prime factorization of 8952

8952 = 2 x 2 x 2 x 3 x 373

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

LCM = 10008336 = 2 x 2 x 2 x 2 x 3 x 13 x 43 x 373

Step 4: Therefore, the least common multiple of 8944 and 8952 is 10008336.