Least Common Multiple of 9836 and 9840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9836 and 9840 the smallest integer that is 24196560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9836 and 9840 is 24196560.

LCM(9836,9840) = 24196560

LCM of 9836 and 9840

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

LCM of:
and

Least Common Multiple of 9836 and 9840

LCM of 9836 and 9840 is 24196560

Least common multiple can be found by multiplying the highest exponent prime factors of 9836 and 9840. First we will calculate the prime factors of 9836 and 9840.

Prime Factorization of 9836


2 9836
2 4918
2459 2459
1

Prime factors of 9836 are 2,2459. Prime factorization of 9836 in exponential form is:

9836 = 22×24591

Prime Factorization of 9840


2 9840
2 4920
2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 9840 are 2, 3, 5,41. Prime factorization of 9840 in exponential form is:

9840 = 24×31×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9836 and 9840.

LCM(9836,9840) = 24×31×51×411×24591
LCM(9836,9840) = 24196560

Factors of 9836

List of positive integer factors of 9836 that divides 9836 without a remainder.

1, 2, 4, 2459, 4918, 9836

Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840

Least Common Multiple of 9836 and 9840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9836 and 9840, than apply into the LCM equation.

GCF(9836,9840) = 4
LCM(9836,9840) = ( 9836 × 9840) / 4
LCM(9836,9840) = 96786240 / 4
LCM(9836,9840) = 24196560

Properties of LCM 9836 and 9840

(i) The LCM of 9840 and 9836 is associative

LCM of 9836 and 9840 = LCM of 9840 and 9836

Related Least Common Multiples of 9836

Related Least Common Multiples of 9840

Frequently Asked Questions on LCM of 9836 and 9840

1. What is the LCM of 9836 and 9840?

Answer: LCM of 9836 and 9840 is 24196560.

2. What are the Factors of 9836?

Answer: Factors of 9836 are 1, 2, 4, 2459, 4918, 9836. There are 6 integers that are factors of 9836. The greatest factor of 9836 is 9836.

3. What are the Factors of 9840?

Answer: Factors of 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840. There are 40 integers that are factors of 9840. The greatest factor of 9840 is 9840.

4. How to Find the LCM of 9836 and 9840?

Answer:

Least Common Multiple of 9836 and 9840 = 24196560

Step 1: Find the prime factorization of 9836

9836 = 2 x 2 x 2459

Step 2: Find the prime factorization of 9840

9840 = 2 x 2 x 2 x 2 x 3 x 5 x 41

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

LCM = 24196560 = 2 x 2 x 2 x 2 x 3 x 5 x 41 x 2459

Step 4: Therefore, the least common multiple of 9836 and 9840 is 24196560.