Least Common Multiple of 9794 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 9794 and 9800 the smallest integer that is 47990600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9794 and 9800 is 47990600.

LCM(9794,9800) = 47990600

LCM of 9794 and 9800

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

LCM of:
and

Least Common Multiple of 9794 and 9800

LCM of 9794 and 9800 is 47990600

Least common multiple can be found by multiplying the highest exponent prime factors of 9794 and 9800. First we will calculate the prime factors of 9794 and 9800.

Prime Factorization of 9794


2 9794
59 4897
83 83
1

Prime factors of 9794 are 2, 59,83. Prime factorization of 9794 in exponential form is:

9794 = 21×591×831

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 9794 and 9800.

LCM(9794,9800) = 23×52×72×591×831
LCM(9794,9800) = 47990600

Factors of 9794

List of positive integer factors of 9794 that divides 9794 without a remainder.

1, 2, 59, 83, 118, 166, 4897, 9794

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 9794 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 9794 and 9800, than apply into the LCM equation.

GCF(9794,9800) = 2
LCM(9794,9800) = ( 9794 × 9800) / 2
LCM(9794,9800) = 95981200 / 2
LCM(9794,9800) = 47990600

Properties of LCM 9794 and 9800

(i) The LCM of 9800 and 9794 is associative

LCM of 9794 and 9800 = LCM of 9800 and 9794

Related Least Common Multiples of 9794

Related Least Common Multiples of 9800

Frequently Asked Questions on LCM of 9794 and 9800

1. What is the LCM of 9794 and 9800?

Answer: LCM of 9794 and 9800 is 47990600.

2. What are the Factors of 9794?

Answer: Factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794. There are 8 integers that are factors of 9794. The greatest factor of 9794 is 9794.

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 9794 and 9800?

Answer:

Least Common Multiple of 9794 and 9800 = 47990600

Step 1: Find the prime factorization of 9794

9794 = 2 x 59 x 83

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 = 47990600 = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 59 x 83

Step 4: Therefore, the least common multiple of 9794 and 9800 is 47990600.