Least Common Multiple of 9949 and 9957

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 9957 the smallest integer that is 99062193 that is divisible by both numbers.

Least Common Multiple (LCM) of 9949 and 9957 is 99062193.

LCM(9949,9957) = 99062193

LCM of 9949 and 9957

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

LCM of:
and

Least Common Multiple of 9949 and 9957

LCM of 9949 and 9957 is 99062193

Least common multiple can be found by multiplying the highest exponent prime factors of 9949 and 9957. First we will calculate the prime factors of 9949 and 9957.

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 9957


3 9957
3319 3319
1

Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:

9957 = 31×33191

Now multiplying the highest exponent prime factors to calculate the LCM of 9949 and 9957.

LCM(9949,9957) = 31×33191×99491
LCM(9949,9957) = 99062193

Factors of 9949

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

1, 9949

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1, 3, 3319, 9957

Least Common Multiple of 9949 and 9957 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 9957, than apply into the LCM equation.

GCF(9949,9957) = 1
LCM(9949,9957) = ( 9949 × 9957) / 1
LCM(9949,9957) = 99062193 / 1
LCM(9949,9957) = 99062193

Properties of LCM 9949 and 9957

(i) The LCM of 9957 and 9949 is associative

LCM of 9949 and 9957 = LCM of 9957 and 9949

Related Least Common Multiples of 9949

Related Least Common Multiples of 9957

Frequently Asked Questions on LCM of 9949 and 9957

1. What is the LCM of 9949 and 9957?

Answer: LCM of 9949 and 9957 is 99062193.

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 9957?

Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.

4. How to Find the LCM of 9949 and 9957?

Answer:

Least Common Multiple of 9949 and 9957 = 99062193

Step 1: Find the prime factorization of 9949

9949 = 9949

Step 2: Find the prime factorization of 9957

9957 = 3 x 3319

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

LCM = 99062193 = 3 x 3319 x 9949

Step 4: Therefore, the least common multiple of 9949 and 9957 is 99062193.