Least Common Multiple of 9814 and 9821

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 9821 the smallest integer that is 13769042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9814 and 9821 is 13769042.

LCM(9814,9821) = 13769042

LCM of 9814 and 9821

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

LCM of:
and

Least Common Multiple of 9814 and 9821

LCM of 9814 and 9821 is 13769042

Least common multiple can be found by multiplying the highest exponent prime factors of 9814 and 9821. First we will calculate the prime factors of 9814 and 9821.

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 9821


7 9821
23 1403
61 61
1

Prime factors of 9821 are 7, 23,61. Prime factorization of 9821 in exponential form is:

9821 = 71×231×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9814 and 9821.

LCM(9814,9821) = 21×71×231×611×7011
LCM(9814,9821) = 13769042

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 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1, 7, 23, 61, 161, 427, 1403, 9821

Least Common Multiple of 9814 and 9821 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 9821, than apply into the LCM equation.

GCF(9814,9821) = 7
LCM(9814,9821) = ( 9814 × 9821) / 7
LCM(9814,9821) = 96383294 / 7
LCM(9814,9821) = 13769042

Properties of LCM 9814 and 9821

(i) The LCM of 9821 and 9814 is associative

LCM of 9814 and 9821 = LCM of 9821 and 9814

Related Least Common Multiples of 9814

Related Least Common Multiples of 9821

Frequently Asked Questions on LCM of 9814 and 9821

1. What is the LCM of 9814 and 9821?

Answer: LCM of 9814 and 9821 is 13769042.

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 9821?

Answer: Factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821. There are 8 integers that are factors of 9821. The greatest factor of 9821 is 9821.

4. How to Find the LCM of 9814 and 9821?

Answer:

Least Common Multiple of 9814 and 9821 = 13769042

Step 1: Find the prime factorization of 9814

9814 = 2 x 7 x 701

Step 2: Find the prime factorization of 9821

9821 = 7 x 23 x 61

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

LCM = 13769042 = 2 x 7 x 23 x 61 x 701

Step 4: Therefore, the least common multiple of 9814 and 9821 is 13769042.