Least Common Multiple of 9814 and 9820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9814 and 9820 the smallest integer that is 48186740 that is divisible by both numbers.

Least Common Multiple (LCM) of 9814 and 9820 is 48186740.

LCM(9814,9820) = 48186740

LCM of 9814 and 9820

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

LCM of:
and

Least Common Multiple of 9814 and 9820

LCM of 9814 and 9820 is 48186740

Least common multiple can be found by multiplying the highest exponent prime factors of 9814 and 9820. First we will calculate the prime factors of 9814 and 9820.

Prime Factorization of 9814


2 9814
7 4907
701 701
1

Prime factors of 9814 are 2, 7,701. Prime factorization of 9814 in exponential form is:

9814 = 21×71×7011

Prime Factorization of 9820


2 9820
2 4910
5 2455
491 491
1

Prime factors of 9820 are 2, 5,491. Prime factorization of 9820 in exponential form is:

9820 = 22×51×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 9814 and 9820.

LCM(9814,9820) = 22×51×71×4911×7011
LCM(9814,9820) = 48186740

Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907, 9814

Factors of 9820

List of positive integer factors of 9820 that divides 9820 without a remainder.

1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820

Least Common Multiple of 9814 and 9820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9814 and 9820, than apply into the LCM equation.

GCF(9814,9820) = 2
LCM(9814,9820) = ( 9814 × 9820) / 2
LCM(9814,9820) = 96373480 / 2
LCM(9814,9820) = 48186740

Properties of LCM 9814 and 9820

(i) The LCM of 9820 and 9814 is associative

LCM of 9814 and 9820 = LCM of 9820 and 9814

Related Least Common Multiples of 9814

Related Least Common Multiples of 9820

Frequently Asked Questions on LCM of 9814 and 9820

1. What is the LCM of 9814 and 9820?

Answer: LCM of 9814 and 9820 is 48186740.

2. What are the Factors of 9814?

Answer: Factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814. There are 8 integers that are factors of 9814. The greatest factor of 9814 is 9814.

3. What are the Factors of 9820?

Answer: Factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820. There are 12 integers that are factors of 9820. The greatest factor of 9820 is 9820.

4. How to Find the LCM of 9814 and 9820?

Answer:

Least Common Multiple of 9814 and 9820 = 48186740

Step 1: Find the prime factorization of 9814

9814 = 2 x 7 x 701

Step 2: Find the prime factorization of 9820

9820 = 2 x 2 x 5 x 491

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

LCM = 48186740 = 2 x 2 x 5 x 7 x 491 x 701

Step 4: Therefore, the least common multiple of 9814 and 9820 is 48186740.