Least Common Multiple of 9821 and 9827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9821 and 9827 the smallest integer that is 96510967 that is divisible by both numbers.

Least Common Multiple (LCM) of 9821 and 9827 is 96510967.

LCM(9821,9827) = 96510967

LCM of 9821 and 9827

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

LCM of:
and

Least Common Multiple of 9821 and 9827

LCM of 9821 and 9827 is 96510967

Least common multiple can be found by multiplying the highest exponent prime factors of 9821 and 9827. First we will calculate the prime factors of 9821 and 9827.

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

Prime Factorization of 9827


31 9827
317 317
1

Prime factors of 9827 are 31,317. Prime factorization of 9827 in exponential form is:

9827 = 311×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 9821 and 9827.

LCM(9821,9827) = 71×231×311×611×3171
LCM(9821,9827) = 96510967

Factors of 9821

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

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

Factors of 9827

List of positive integer factors of 9827 that divides 9827 without a remainder.

1, 31, 317, 9827

Least Common Multiple of 9821 and 9827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9821 and 9827, than apply into the LCM equation.

GCF(9821,9827) = 1
LCM(9821,9827) = ( 9821 × 9827) / 1
LCM(9821,9827) = 96510967 / 1
LCM(9821,9827) = 96510967

Properties of LCM 9821 and 9827

(i) The LCM of 9827 and 9821 is associative

LCM of 9821 and 9827 = LCM of 9827 and 9821

Related Least Common Multiples of 9821

Related Least Common Multiples of 9827

Frequently Asked Questions on LCM of 9821 and 9827

1. What is the LCM of 9821 and 9827?

Answer: LCM of 9821 and 9827 is 96510967.

2. 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.

3. What are the Factors of 9827?

Answer: Factors of 9827 are 1, 31, 317, 9827. There are 4 integers that are factors of 9827. The greatest factor of 9827 is 9827.

4. How to Find the LCM of 9821 and 9827?

Answer:

Least Common Multiple of 9821 and 9827 = 96510967

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

Step 2: Find the prime factorization of 9827

9827 = 31 x 317

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

LCM = 96510967 = 7 x 23 x 31 x 61 x 317

Step 4: Therefore, the least common multiple of 9821 and 9827 is 96510967.