Least Common Multiple of 9864 and 9869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9864 and 9869 the smallest integer that is 97347816 that is divisible by both numbers.

Least Common Multiple (LCM) of 9864 and 9869 is 97347816.

LCM(9864,9869) = 97347816

LCM of 9864 and 9869

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

LCM of:
and

Least Common Multiple of 9864 and 9869

LCM of 9864 and 9869 is 97347816

Least common multiple can be found by multiplying the highest exponent prime factors of 9864 and 9869. First we will calculate the prime factors of 9864 and 9869.

Prime Factorization of 9864


2 9864
2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 9864 are 2, 3,137. Prime factorization of 9864 in exponential form is:

9864 = 23×32×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9864 and 9869.

LCM(9864,9869) = 23×32×711×1371×1391
LCM(9864,9869) = 97347816

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864

Factors of 9869

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

1, 71, 139, 9869

Least Common Multiple of 9864 and 9869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9864 and 9869, than apply into the LCM equation.

GCF(9864,9869) = 1
LCM(9864,9869) = ( 9864 × 9869) / 1
LCM(9864,9869) = 97347816 / 1
LCM(9864,9869) = 97347816

Properties of LCM 9864 and 9869

(i) The LCM of 9869 and 9864 is associative

LCM of 9864 and 9869 = LCM of 9869 and 9864

Related Least Common Multiples of 9864

Related Least Common Multiples of 9869

Frequently Asked Questions on LCM of 9864 and 9869

1. What is the LCM of 9864 and 9869?

Answer: LCM of 9864 and 9869 is 97347816.

2. What are the Factors of 9864?

Answer: Factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864. There are 24 integers that are factors of 9864. The greatest factor of 9864 is 9864.

3. 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.

4. How to Find the LCM of 9864 and 9869?

Answer:

Least Common Multiple of 9864 and 9869 = 97347816

Step 1: Find the prime factorization of 9864

9864 = 2 x 2 x 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 9869

9869 = 71 x 139

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

LCM = 97347816 = 2 x 2 x 2 x 3 x 3 x 71 x 137 x 139

Step 4: Therefore, the least common multiple of 9864 and 9869 is 97347816.