Least Common Multiple of 9949 and 9955

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 9955 the smallest integer that is 99042295 that is divisible by both numbers.

Least Common Multiple (LCM) of 9949 and 9955 is 99042295.

LCM(9949,9955) = 99042295

LCM of 9949 and 9955

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

LCM of:
and

Least Common Multiple of 9949 and 9955

LCM of 9949 and 9955 is 99042295

Least common multiple can be found by multiplying the highest exponent prime factors of 9949 and 9955. First we will calculate the prime factors of 9949 and 9955.

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 9955


5 9955
11 1991
181 181
1

Prime factors of 9955 are 5, 11,181. Prime factorization of 9955 in exponential form is:

9955 = 51×111×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9949 and 9955.

LCM(9949,9955) = 51×111×1811×99491
LCM(9949,9955) = 99042295

Factors of 9949

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

1, 9949

Factors of 9955

List of positive integer factors of 9955 that divides 9955 without a remainder.

1, 5, 11, 55, 181, 905, 1991, 9955

Least Common Multiple of 9949 and 9955 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 9955, than apply into the LCM equation.

GCF(9949,9955) = 1
LCM(9949,9955) = ( 9949 × 9955) / 1
LCM(9949,9955) = 99042295 / 1
LCM(9949,9955) = 99042295

Properties of LCM 9949 and 9955

(i) The LCM of 9955 and 9949 is associative

LCM of 9949 and 9955 = LCM of 9955 and 9949

Related Least Common Multiples of 9949

Related Least Common Multiples of 9955

Frequently Asked Questions on LCM of 9949 and 9955

1. What is the LCM of 9949 and 9955?

Answer: LCM of 9949 and 9955 is 99042295.

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 9955?

Answer: Factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955. There are 8 integers that are factors of 9955. The greatest factor of 9955 is 9955.

4. How to Find the LCM of 9949 and 9955?

Answer:

Least Common Multiple of 9949 and 9955 = 99042295

Step 1: Find the prime factorization of 9949

9949 = 9949

Step 2: Find the prime factorization of 9955

9955 = 5 x 11 x 181

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

LCM = 99042295 = 5 x 11 x 181 x 9949

Step 4: Therefore, the least common multiple of 9949 and 9955 is 99042295.