Least Common Multiple of 9944 and 9949

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 9949 the smallest integer that is 98932856 that is divisible by both numbers.

Least Common Multiple (LCM) of 9944 and 9949 is 98932856.

LCM(9944,9949) = 98932856

LCM of 9944 and 9949

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

LCM of:
and

Least Common Multiple of 9944 and 9949

LCM of 9944 and 9949 is 98932856

Least common multiple can be found by multiplying the highest exponent prime factors of 9944 and 9949. First we will calculate the prime factors of 9944 and 9949.

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 9949


9949 9949
1

Prime factors of 9949 are 9949. Prime factorization of 9949 in exponential form is:

9949 = 99491

Now multiplying the highest exponent prime factors to calculate the LCM of 9944 and 9949.

LCM(9944,9949) = 23×111×1131×99491
LCM(9944,9949) = 98932856

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 9949

List of positive integer factors of 9949 that divides 9949 without a remainder.

1, 9949

Least Common Multiple of 9944 and 9949 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 9949, than apply into the LCM equation.

GCF(9944,9949) = 1
LCM(9944,9949) = ( 9944 × 9949) / 1
LCM(9944,9949) = 98932856 / 1
LCM(9944,9949) = 98932856

Properties of LCM 9944 and 9949

(i) The LCM of 9949 and 9944 is associative

LCM of 9944 and 9949 = LCM of 9949 and 9944

Related Least Common Multiples of 9944

Related Least Common Multiples of 9949

Frequently Asked Questions on LCM of 9944 and 9949

1. What is the LCM of 9944 and 9949?

Answer: LCM of 9944 and 9949 is 98932856.

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 9949?

Answer: Factors of 9949 are 1, 9949. There are 2 integers that are factors of 9949. The greatest factor of 9949 is 9949.

4. How to Find the LCM of 9944 and 9949?

Answer:

Least Common Multiple of 9944 and 9949 = 98932856

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 9949

9949 = 9949

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

LCM = 98932856 = 2 x 2 x 2 x 11 x 113 x 9949

Step 4: Therefore, the least common multiple of 9944 and 9949 is 98932856.