Least Common Multiple of 9953 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 9953 and 9960 the smallest integer that is 99131880 that is divisible by both numbers.

Least Common Multiple (LCM) of 9953 and 9960 is 99131880.

LCM(9953,9960) = 99131880

LCM of 9953 and 9960

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

LCM of:
and

Least Common Multiple of 9953 and 9960

LCM of 9953 and 9960 is 99131880

Least common multiple can be found by multiplying the highest exponent prime factors of 9953 and 9960. First we will calculate the prime factors of 9953 and 9960.

Prime Factorization of 9953


37 9953
269 269
1

Prime factors of 9953 are 37,269. Prime factorization of 9953 in exponential form is:

9953 = 371×2691

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 9953 and 9960.

LCM(9953,9960) = 23×31×51×371×831×2691
LCM(9953,9960) = 99131880

Factors of 9953

List of positive integer factors of 9953 that divides 9953 without a remainder.

1, 37, 269, 9953

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 9953 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 9953 and 9960, than apply into the LCM equation.

GCF(9953,9960) = 1
LCM(9953,9960) = ( 9953 × 9960) / 1
LCM(9953,9960) = 99131880 / 1
LCM(9953,9960) = 99131880

Properties of LCM 9953 and 9960

(i) The LCM of 9960 and 9953 is associative

LCM of 9953 and 9960 = LCM of 9960 and 9953

Related Least Common Multiples of 9953

Related Least Common Multiples of 9960

Frequently Asked Questions on LCM of 9953 and 9960

1. What is the LCM of 9953 and 9960?

Answer: LCM of 9953 and 9960 is 99131880.

2. What are the Factors of 9953?

Answer: Factors of 9953 are 1, 37, 269, 9953. There are 4 integers that are factors of 9953. The greatest factor of 9953 is 9953.

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 9953 and 9960?

Answer:

Least Common Multiple of 9953 and 9960 = 99131880

Step 1: Find the prime factorization of 9953

9953 = 37 x 269

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 = 99131880 = 2 x 2 x 2 x 3 x 5 x 37 x 83 x 269

Step 4: Therefore, the least common multiple of 9953 and 9960 is 99131880.