Least Common Multiple of 9955 and 9961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9955 and 9961 the smallest integer that is 99161755 that is divisible by both numbers.

Least Common Multiple (LCM) of 9955 and 9961 is 99161755.

LCM(9955,9961) = 99161755

LCM of 9955 and 9961

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

LCM of:
and

Least Common Multiple of 9955 and 9961

LCM of 9955 and 9961 is 99161755

Least common multiple can be found by multiplying the highest exponent prime factors of 9955 and 9961. First we will calculate the prime factors of 9955 and 9961.

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

Prime Factorization of 9961


7 9961
1423 1423
1

Prime factors of 9961 are 7,1423. Prime factorization of 9961 in exponential form is:

9961 = 71×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 9955 and 9961.

LCM(9955,9961) = 51×71×111×1811×14231
LCM(9955,9961) = 99161755

Factors of 9955

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

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

Factors of 9961

List of positive integer factors of 9961 that divides 9961 without a remainder.

1, 7, 1423, 9961

Least Common Multiple of 9955 and 9961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9955 and 9961, than apply into the LCM equation.

GCF(9955,9961) = 1
LCM(9955,9961) = ( 9955 × 9961) / 1
LCM(9955,9961) = 99161755 / 1
LCM(9955,9961) = 99161755

Properties of LCM 9955 and 9961

(i) The LCM of 9961 and 9955 is associative

LCM of 9955 and 9961 = LCM of 9961 and 9955

Related Least Common Multiples of 9955

Related Least Common Multiples of 9961

Frequently Asked Questions on LCM of 9955 and 9961

1. What is the LCM of 9955 and 9961?

Answer: LCM of 9955 and 9961 is 99161755.

2. 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.

3. What are the Factors of 9961?

Answer: Factors of 9961 are 1, 7, 1423, 9961. There are 4 integers that are factors of 9961. The greatest factor of 9961 is 9961.

4. How to Find the LCM of 9955 and 9961?

Answer:

Least Common Multiple of 9955 and 9961 = 99161755

Step 1: Find the prime factorization of 9955

9955 = 5 x 11 x 181

Step 2: Find the prime factorization of 9961

9961 = 7 x 1423

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

LCM = 99161755 = 5 x 7 x 11 x 181 x 1423

Step 4: Therefore, the least common multiple of 9955 and 9961 is 99161755.