Least Common Multiple of 9840 and 9848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9840 and 9848 the smallest integer that is 12113040 that is divisible by both numbers.

Least Common Multiple (LCM) of 9840 and 9848 is 12113040.

LCM(9840,9848) = 12113040

LCM of 9840 and 9848

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

LCM of:
and

Least Common Multiple of 9840 and 9848

LCM of 9840 and 9848 is 12113040

Least common multiple can be found by multiplying the highest exponent prime factors of 9840 and 9848. First we will calculate the prime factors of 9840 and 9848.

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

Prime Factorization of 9848


2 9848
2 4924
2 2462
1231 1231
1

Prime factors of 9848 are 2,1231. Prime factorization of 9848 in exponential form is:

9848 = 23×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 9840 and 9848.

LCM(9840,9848) = 24×31×51×411×12311
LCM(9840,9848) = 12113040

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

Factors of 9848

List of positive integer factors of 9848 that divides 9848 without a remainder.

1, 2, 4, 8, 1231, 2462, 4924, 9848

Least Common Multiple of 9840 and 9848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9840 and 9848, than apply into the LCM equation.

GCF(9840,9848) = 8
LCM(9840,9848) = ( 9840 × 9848) / 8
LCM(9840,9848) = 96904320 / 8
LCM(9840,9848) = 12113040

Properties of LCM 9840 and 9848

(i) The LCM of 9848 and 9840 is associative

LCM of 9840 and 9848 = LCM of 9848 and 9840

Related Least Common Multiples of 9840

Related Least Common Multiples of 9848

Frequently Asked Questions on LCM of 9840 and 9848

1. What is the LCM of 9840 and 9848?

Answer: LCM of 9840 and 9848 is 12113040.

2. 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.

3. What are the Factors of 9848?

Answer: Factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848. There are 8 integers that are factors of 9848. The greatest factor of 9848 is 9848.

4. How to Find the LCM of 9840 and 9848?

Answer:

Least Common Multiple of 9840 and 9848 = 12113040

Step 1: Find the prime factorization of 9840

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

Step 2: Find the prime factorization of 9848

9848 = 2 x 2 x 2 x 1231

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

LCM = 12113040 = 2 x 2 x 2 x 2 x 3 x 5 x 41 x 1231

Step 4: Therefore, the least common multiple of 9840 and 9848 is 12113040.