Least Common Multiple of 9949 and 9956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9949 and 9956 the smallest integer that is 99052244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9949 and 9956 is 99052244.

LCM(9949,9956) = 99052244

LCM of 9949 and 9956

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

LCM of:
and

Least Common Multiple of 9949 and 9956

LCM of 9949 and 9956 is 99052244

Least common multiple can be found by multiplying the highest exponent prime factors of 9949 and 9956. First we will calculate the prime factors of 9949 and 9956.

Prime Factorization of 9949


9949 9949
1

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

9949 = 99491

Prime Factorization of 9956


2 9956
2 4978
19 2489
131 131
1

Prime factors of 9956 are 2, 19,131. Prime factorization of 9956 in exponential form is:

9956 = 22×191×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9949 and 9956.

LCM(9949,9956) = 22×191×1311×99491
LCM(9949,9956) = 99052244

Factors of 9949

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

1, 9949

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956

Least Common Multiple of 9949 and 9956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9949 and 9956, than apply into the LCM equation.

GCF(9949,9956) = 1
LCM(9949,9956) = ( 9949 × 9956) / 1
LCM(9949,9956) = 99052244 / 1
LCM(9949,9956) = 99052244

Properties of LCM 9949 and 9956

(i) The LCM of 9956 and 9949 is associative

LCM of 9949 and 9956 = LCM of 9956 and 9949

Related Least Common Multiples of 9949

Related Least Common Multiples of 9956

Frequently Asked Questions on LCM of 9949 and 9956

1. What is the LCM of 9949 and 9956?

Answer: LCM of 9949 and 9956 is 99052244.

2. 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.

3. What are the Factors of 9956?

Answer: Factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956. There are 12 integers that are factors of 9956. The greatest factor of 9956 is 9956.

4. How to Find the LCM of 9949 and 9956?

Answer:

Least Common Multiple of 9949 and 9956 = 99052244

Step 1: Find the prime factorization of 9949

9949 = 9949

Step 2: Find the prime factorization of 9956

9956 = 2 x 2 x 19 x 131

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

LCM = 99052244 = 2 x 2 x 19 x 131 x 9949

Step 4: Therefore, the least common multiple of 9949 and 9956 is 99052244.