Least Common Multiple of 9893 and 9900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9893 and 9900 the smallest integer that is 97940700 that is divisible by both numbers.

Least Common Multiple (LCM) of 9893 and 9900 is 97940700.

LCM(9893,9900) = 97940700

LCM of 9893 and 9900

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

LCM of:
and

Least Common Multiple of 9893 and 9900

LCM of 9893 and 9900 is 97940700

Least common multiple can be found by multiplying the highest exponent prime factors of 9893 and 9900. First we will calculate the prime factors of 9893 and 9900.

Prime Factorization of 9893


13 9893
761 761
1

Prime factors of 9893 are 13,761. Prime factorization of 9893 in exponential form is:

9893 = 131×7611

Prime Factorization of 9900


2 9900
2 4950
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 9900 are 2, 3, 5,11. Prime factorization of 9900 in exponential form is:

9900 = 22×32×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 9893 and 9900.

LCM(9893,9900) = 22×32×52×111×131×7611
LCM(9893,9900) = 97940700

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1, 13, 761, 9893

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900

Least Common Multiple of 9893 and 9900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9893 and 9900, than apply into the LCM equation.

GCF(9893,9900) = 1
LCM(9893,9900) = ( 9893 × 9900) / 1
LCM(9893,9900) = 97940700 / 1
LCM(9893,9900) = 97940700

Properties of LCM 9893 and 9900

(i) The LCM of 9900 and 9893 is associative

LCM of 9893 and 9900 = LCM of 9900 and 9893

Related Least Common Multiples of 9893

Related Least Common Multiples of 9900

Frequently Asked Questions on LCM of 9893 and 9900

1. What is the LCM of 9893 and 9900?

Answer: LCM of 9893 and 9900 is 97940700.

2. What are the Factors of 9893?

Answer: Factors of 9893 are 1, 13, 761, 9893. There are 4 integers that are factors of 9893. The greatest factor of 9893 is 9893.

3. What are the Factors of 9900?

Answer: Factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900. There are 54 integers that are factors of 9900. The greatest factor of 9900 is 9900.

4. How to Find the LCM of 9893 and 9900?

Answer:

Least Common Multiple of 9893 and 9900 = 97940700

Step 1: Find the prime factorization of 9893

9893 = 13 x 761

Step 2: Find the prime factorization of 9900

9900 = 2 x 2 x 3 x 3 x 5 x 5 x 11

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

LCM = 97940700 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 13 x 761

Step 4: Therefore, the least common multiple of 9893 and 9900 is 97940700.