Least Common Multiple of 9869 and 9876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9869 and 9876 the smallest integer that is 97466244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9869 and 9876 is 97466244.

LCM(9869,9876) = 97466244

LCM of 9869 and 9876

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

LCM of:
and

Least Common Multiple of 9869 and 9876

LCM of 9869 and 9876 is 97466244

Least common multiple can be found by multiplying the highest exponent prime factors of 9869 and 9876. First we will calculate the prime factors of 9869 and 9876.

Prime Factorization of 9869


71 9869
139 139
1

Prime factors of 9869 are 71,139. Prime factorization of 9869 in exponential form is:

9869 = 711×1391

Prime Factorization of 9876


2 9876
2 4938
3 2469
823 823
1

Prime factors of 9876 are 2, 3,823. Prime factorization of 9876 in exponential form is:

9876 = 22×31×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 9869 and 9876.

LCM(9869,9876) = 22×31×711×1391×8231
LCM(9869,9876) = 97466244

Factors of 9869

List of positive integer factors of 9869 that divides 9869 without a remainder.

1, 71, 139, 9869

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876

Least Common Multiple of 9869 and 9876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9869 and 9876, than apply into the LCM equation.

GCF(9869,9876) = 1
LCM(9869,9876) = ( 9869 × 9876) / 1
LCM(9869,9876) = 97466244 / 1
LCM(9869,9876) = 97466244

Properties of LCM 9869 and 9876

(i) The LCM of 9876 and 9869 is associative

LCM of 9869 and 9876 = LCM of 9876 and 9869

Related Least Common Multiples of 9869

Related Least Common Multiples of 9876

Frequently Asked Questions on LCM of 9869 and 9876

1. What is the LCM of 9869 and 9876?

Answer: LCM of 9869 and 9876 is 97466244.

2. What are the Factors of 9869?

Answer: Factors of 9869 are 1, 71, 139, 9869. There are 4 integers that are factors of 9869. The greatest factor of 9869 is 9869.

3. What are the Factors of 9876?

Answer: Factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. There are 12 integers that are factors of 9876. The greatest factor of 9876 is 9876.

4. How to Find the LCM of 9869 and 9876?

Answer:

Least Common Multiple of 9869 and 9876 = 97466244

Step 1: Find the prime factorization of 9869

9869 = 71 x 139

Step 2: Find the prime factorization of 9876

9876 = 2 x 2 x 3 x 823

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

LCM = 97466244 = 2 x 2 x 3 x 71 x 139 x 823

Step 4: Therefore, the least common multiple of 9869 and 9876 is 97466244.