Least Common Multiple of 9795 and 9800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9795 and 9800 the smallest integer that is 19198200 that is divisible by both numbers.

Least Common Multiple (LCM) of 9795 and 9800 is 19198200.

LCM(9795,9800) = 19198200

LCM of 9795 and 9800

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

LCM of:
and

Least Common Multiple of 9795 and 9800

LCM of 9795 and 9800 is 19198200

Least common multiple can be found by multiplying the highest exponent prime factors of 9795 and 9800. First we will calculate the prime factors of 9795 and 9800.

Prime Factorization of 9795


3 9795
5 3265
653 653
1

Prime factors of 9795 are 3, 5,653. Prime factorization of 9795 in exponential form is:

9795 = 31×51×6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9795 and 9800.

LCM(9795,9800) = 23×31×52×72×6531
LCM(9795,9800) = 19198200

Factors of 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1, 3, 5, 15, 653, 1959, 3265, 9795

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

Least Common Multiple of 9795 and 9800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9795 and 9800, than apply into the LCM equation.

GCF(9795,9800) = 5
LCM(9795,9800) = ( 9795 × 9800) / 5
LCM(9795,9800) = 95991000 / 5
LCM(9795,9800) = 19198200

Properties of LCM 9795 and 9800

(i) The LCM of 9800 and 9795 is associative

LCM of 9795 and 9800 = LCM of 9800 and 9795

Related Least Common Multiples of 9795

Related Least Common Multiples of 9800

Frequently Asked Questions on LCM of 9795 and 9800

1. What is the LCM of 9795 and 9800?

Answer: LCM of 9795 and 9800 is 19198200.

2. What are the Factors of 9795?

Answer: Factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795. There are 8 integers that are factors of 9795. The greatest factor of 9795 is 9795.

3. 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.

4. How to Find the LCM of 9795 and 9800?

Answer:

Least Common Multiple of 9795 and 9800 = 19198200

Step 1: Find the prime factorization of 9795

9795 = 3 x 5 x 653

Step 2: Find the prime factorization of 9800

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

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

LCM = 19198200 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 x 653

Step 4: Therefore, the least common multiple of 9795 and 9800 is 19198200.