Least Common Multiple of 9800 and 9808

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 9808 the smallest integer that is 12014800 that is divisible by both numbers.

Least Common Multiple (LCM) of 9800 and 9808 is 12014800.

LCM(9800,9808) = 12014800

LCM of 9800 and 9808

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

LCM of:
and

Least Common Multiple of 9800 and 9808

LCM of 9800 and 9808 is 12014800

Least common multiple can be found by multiplying the highest exponent prime factors of 9800 and 9808. First we will calculate the prime factors of 9800 and 9808.

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 9808


2 9808
2 4904
2 2452
2 1226
613 613
1

Prime factors of 9808 are 2,613. Prime factorization of 9808 in exponential form is:

9808 = 24×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 9800 and 9808.

LCM(9800,9808) = 24×52×72×6131
LCM(9800,9808) = 12014800

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 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808

Least Common Multiple of 9800 and 9808 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 9808, than apply into the LCM equation.

GCF(9800,9808) = 8
LCM(9800,9808) = ( 9800 × 9808) / 8
LCM(9800,9808) = 96118400 / 8
LCM(9800,9808) = 12014800

Properties of LCM 9800 and 9808

(i) The LCM of 9808 and 9800 is associative

LCM of 9800 and 9808 = LCM of 9808 and 9800

Related Least Common Multiples of 9800

Related Least Common Multiples of 9808

Frequently Asked Questions on LCM of 9800 and 9808

1. What is the LCM of 9800 and 9808?

Answer: LCM of 9800 and 9808 is 12014800.

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 9808?

Answer: Factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808. There are 10 integers that are factors of 9808. The greatest factor of 9808 is 9808.

4. How to Find the LCM of 9800 and 9808?

Answer:

Least Common Multiple of 9800 and 9808 = 12014800

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 9808

9808 = 2 x 2 x 2 x 2 x 613

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

LCM = 12014800 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 7 x 613

Step 4: Therefore, the least common multiple of 9800 and 9808 is 12014800.