Least Common Multiple of 9860 and 9864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9860 and 9864 the smallest integer that is 24314760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9860 and 9864 is 24314760.

LCM(9860,9864) = 24314760

LCM of 9860 and 9864

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

LCM of:
and

Least Common Multiple of 9860 and 9864

LCM of 9860 and 9864 is 24314760

Least common multiple can be found by multiplying the highest exponent prime factors of 9860 and 9864. First we will calculate the prime factors of 9860 and 9864.

Prime Factorization of 9860


2 9860
2 4930
5 2465
17 493
29 29
1

Prime factors of 9860 are 2, 5, 17,29. Prime factorization of 9860 in exponential form is:

9860 = 22×51×171×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9860 and 9864.

LCM(9860,9864) = 23×32×51×171×291×1371
LCM(9860,9864) = 24314760

Factors of 9860

List of positive integer factors of 9860 that divides 9860 without a remainder.

1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860

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

Least Common Multiple of 9860 and 9864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9860 and 9864, than apply into the LCM equation.

GCF(9860,9864) = 4
LCM(9860,9864) = ( 9860 × 9864) / 4
LCM(9860,9864) = 97259040 / 4
LCM(9860,9864) = 24314760

Properties of LCM 9860 and 9864

(i) The LCM of 9864 and 9860 is associative

LCM of 9860 and 9864 = LCM of 9864 and 9860

Related Least Common Multiples of 9860

Related Least Common Multiples of 9864

Frequently Asked Questions on LCM of 9860 and 9864

1. What is the LCM of 9860 and 9864?

Answer: LCM of 9860 and 9864 is 24314760.

2. What are the Factors of 9860?

Answer: Factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860. There are 24 integers that are factors of 9860. The greatest factor of 9860 is 9860.

3. 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.

4. How to Find the LCM of 9860 and 9864?

Answer:

Least Common Multiple of 9860 and 9864 = 24314760

Step 1: Find the prime factorization of 9860

9860 = 2 x 2 x 5 x 17 x 29

Step 2: Find the prime factorization of 9864

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

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

LCM = 24314760 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 29 x 137

Step 4: Therefore, the least common multiple of 9860 and 9864 is 24314760.