Least Common Multiple of 9955 and 9960

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 9960 the smallest integer that is 19830360 that is divisible by both numbers.

Least Common Multiple (LCM) of 9955 and 9960 is 19830360.

LCM(9955,9960) = 19830360

LCM of 9955 and 9960

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

LCM of:
and

Least Common Multiple of 9955 and 9960

LCM of 9955 and 9960 is 19830360

Least common multiple can be found by multiplying the highest exponent prime factors of 9955 and 9960. First we will calculate the prime factors of 9955 and 9960.

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 9960


2 9960
2 4980
2 2490
3 1245
5 415
83 83
1

Prime factors of 9960 are 2, 3, 5,83. Prime factorization of 9960 in exponential form is:

9960 = 23×31×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9955 and 9960.

LCM(9955,9960) = 23×31×51×111×831×1811
LCM(9955,9960) = 19830360

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 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960

Least Common Multiple of 9955 and 9960 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 9960, than apply into the LCM equation.

GCF(9955,9960) = 5
LCM(9955,9960) = ( 9955 × 9960) / 5
LCM(9955,9960) = 99151800 / 5
LCM(9955,9960) = 19830360

Properties of LCM 9955 and 9960

(i) The LCM of 9960 and 9955 is associative

LCM of 9955 and 9960 = LCM of 9960 and 9955

Related Least Common Multiples of 9955

Related Least Common Multiples of 9960

Frequently Asked Questions on LCM of 9955 and 9960

1. What is the LCM of 9955 and 9960?

Answer: LCM of 9955 and 9960 is 19830360.

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 9960?

Answer: Factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960. There are 32 integers that are factors of 9960. The greatest factor of 9960 is 9960.

4. How to Find the LCM of 9955 and 9960?

Answer:

Least Common Multiple of 9955 and 9960 = 19830360

Step 1: Find the prime factorization of 9955

9955 = 5 x 11 x 181

Step 2: Find the prime factorization of 9960

9960 = 2 x 2 x 2 x 3 x 5 x 83

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

LCM = 19830360 = 2 x 2 x 2 x 3 x 5 x 11 x 83 x 181

Step 4: Therefore, the least common multiple of 9955 and 9960 is 19830360.