Least Common Multiple of 9800 and 9805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9800 and 9805 the smallest integer that is 19217800 that is divisible by both numbers.

Least Common Multiple (LCM) of 9800 and 9805 is 19217800.

LCM(9800,9805) = 19217800

LCM of 9800 and 9805

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

LCM of:
and

Least Common Multiple of 9800 and 9805

LCM of 9800 and 9805 is 19217800

Least common multiple can be found by multiplying the highest exponent prime factors of 9800 and 9805. First we will calculate the prime factors of 9800 and 9805.

Prime Factorization of 9800


2 9800
2 4900
2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 9800 are 2, 5,7. Prime factorization of 9800 in exponential form is:

9800 = 23×52×72

Prime Factorization of 9805


5 9805
37 1961
53 53
1

Prime factors of 9805 are 5, 37,53. Prime factorization of 9805 in exponential form is:

9805 = 51×371×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9800 and 9805.

LCM(9800,9805) = 23×52×72×371×531
LCM(9800,9805) = 19217800

Factors of 9800

List of positive integer factors of 9800 that divides 9800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800

Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1, 5, 37, 53, 185, 265, 1961, 9805

Least Common Multiple of 9800 and 9805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9800 and 9805, than apply into the LCM equation.

GCF(9800,9805) = 5
LCM(9800,9805) = ( 9800 × 9805) / 5
LCM(9800,9805) = 96089000 / 5
LCM(9800,9805) = 19217800

Properties of LCM 9800 and 9805

(i) The LCM of 9805 and 9800 is associative

LCM of 9800 and 9805 = LCM of 9805 and 9800

Related Least Common Multiples of 9800

Related Least Common Multiples of 9805

Frequently Asked Questions on LCM of 9800 and 9805

1. What is the LCM of 9800 and 9805?

Answer: LCM of 9800 and 9805 is 19217800.

2. What are the Factors of 9800?

Answer: Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800. There are 36 integers that are factors of 9800. The greatest factor of 9800 is 9800.

3. What are the Factors of 9805?

Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.

4. How to Find the LCM of 9800 and 9805?

Answer:

Least Common Multiple of 9800 and 9805 = 19217800

Step 1: Find the prime factorization of 9800

9800 = 2 x 2 x 2 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 9805

9805 = 5 x 37 x 53

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

LCM = 19217800 = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 37 x 53

Step 4: Therefore, the least common multiple of 9800 and 9805 is 19217800.