Least Common Multiple of 9944 and 9948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9944 and 9948 the smallest integer that is 24730728 that is divisible by both numbers.

Least Common Multiple (LCM) of 9944 and 9948 is 24730728.

LCM(9944,9948) = 24730728

LCM of 9944 and 9948

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

LCM of:
and

Least Common Multiple of 9944 and 9948

LCM of 9944 and 9948 is 24730728

Least common multiple can be found by multiplying the highest exponent prime factors of 9944 and 9948. First we will calculate the prime factors of 9944 and 9948.

Prime Factorization of 9944


2 9944
2 4972
2 2486
11 1243
113 113
1

Prime factors of 9944 are 2, 11,113. Prime factorization of 9944 in exponential form is:

9944 = 23×111×1131

Prime Factorization of 9948


2 9948
2 4974
3 2487
829 829
1

Prime factors of 9948 are 2, 3,829. Prime factorization of 9948 in exponential form is:

9948 = 22×31×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 9944 and 9948.

LCM(9944,9948) = 23×31×111×1131×8291
LCM(9944,9948) = 24730728

Factors of 9944

List of positive integer factors of 9944 that divides 9944 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944

Factors of 9948

List of positive integer factors of 9948 that divides 9948 without a remainder.

1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948

Least Common Multiple of 9944 and 9948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9944 and 9948, than apply into the LCM equation.

GCF(9944,9948) = 4
LCM(9944,9948) = ( 9944 × 9948) / 4
LCM(9944,9948) = 98922912 / 4
LCM(9944,9948) = 24730728

Properties of LCM 9944 and 9948

(i) The LCM of 9948 and 9944 is associative

LCM of 9944 and 9948 = LCM of 9948 and 9944

Related Least Common Multiples of 9944

Related Least Common Multiples of 9948

Frequently Asked Questions on LCM of 9944 and 9948

1. What is the LCM of 9944 and 9948?

Answer: LCM of 9944 and 9948 is 24730728.

2. What are the Factors of 9944?

Answer: Factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944. There are 16 integers that are factors of 9944. The greatest factor of 9944 is 9944.

3. What are the Factors of 9948?

Answer: Factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948. There are 12 integers that are factors of 9948. The greatest factor of 9948 is 9948.

4. How to Find the LCM of 9944 and 9948?

Answer:

Least Common Multiple of 9944 and 9948 = 24730728

Step 1: Find the prime factorization of 9944

9944 = 2 x 2 x 2 x 11 x 113

Step 2: Find the prime factorization of 9948

9948 = 2 x 2 x 3 x 829

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

LCM = 24730728 = 2 x 2 x 2 x 3 x 11 x 113 x 829

Step 4: Therefore, the least common multiple of 9944 and 9948 is 24730728.