Least Common Multiple of 9840 and 9845

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 9845 the smallest integer that is 19374960 that is divisible by both numbers.

Least Common Multiple (LCM) of 9840 and 9845 is 19374960.

LCM(9840,9845) = 19374960

LCM of 9840 and 9845

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

LCM of:
and

Least Common Multiple of 9840 and 9845

LCM of 9840 and 9845 is 19374960

Least common multiple can be found by multiplying the highest exponent prime factors of 9840 and 9845. First we will calculate the prime factors of 9840 and 9845.

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 9845


5 9845
11 1969
179 179
1

Prime factors of 9845 are 5, 11,179. Prime factorization of 9845 in exponential form is:

9845 = 51×111×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9840 and 9845.

LCM(9840,9845) = 24×31×51×111×411×1791
LCM(9840,9845) = 19374960

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 9845

List of positive integer factors of 9845 that divides 9845 without a remainder.

1, 5, 11, 55, 179, 895, 1969, 9845

Least Common Multiple of 9840 and 9845 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 9845, than apply into the LCM equation.

GCF(9840,9845) = 5
LCM(9840,9845) = ( 9840 × 9845) / 5
LCM(9840,9845) = 96874800 / 5
LCM(9840,9845) = 19374960

Properties of LCM 9840 and 9845

(i) The LCM of 9845 and 9840 is associative

LCM of 9840 and 9845 = LCM of 9845 and 9840

Related Least Common Multiples of 9840

Related Least Common Multiples of 9845

Frequently Asked Questions on LCM of 9840 and 9845

1. What is the LCM of 9840 and 9845?

Answer: LCM of 9840 and 9845 is 19374960.

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 9845?

Answer: Factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845. There are 8 integers that are factors of 9845. The greatest factor of 9845 is 9845.

4. How to Find the LCM of 9840 and 9845?

Answer:

Least Common Multiple of 9840 and 9845 = 19374960

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 9845

9845 = 5 x 11 x 179

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

LCM = 19374960 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 41 x 179

Step 4: Therefore, the least common multiple of 9840 and 9845 is 19374960.