Least Common Multiple of 9846 and 9850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9846 and 9850 the smallest integer that is 48491550 that is divisible by both numbers.

Least Common Multiple (LCM) of 9846 and 9850 is 48491550.

LCM(9846,9850) = 48491550

LCM of 9846 and 9850

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

LCM of:
and

Least Common Multiple of 9846 and 9850

LCM of 9846 and 9850 is 48491550

Least common multiple can be found by multiplying the highest exponent prime factors of 9846 and 9850. First we will calculate the prime factors of 9846 and 9850.

Prime Factorization of 9846


2 9846
3 4923
3 1641
547 547
1

Prime factors of 9846 are 2, 3,547. Prime factorization of 9846 in exponential form is:

9846 = 21×32×5471

Prime Factorization of 9850


2 9850
5 4925
5 985
197 197
1

Prime factors of 9850 are 2, 5,197. Prime factorization of 9850 in exponential form is:

9850 = 21×52×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 9846 and 9850.

LCM(9846,9850) = 21×32×52×1971×5471
LCM(9846,9850) = 48491550

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846

Factors of 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850

Least Common Multiple of 9846 and 9850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9846 and 9850, than apply into the LCM equation.

GCF(9846,9850) = 2
LCM(9846,9850) = ( 9846 × 9850) / 2
LCM(9846,9850) = 96983100 / 2
LCM(9846,9850) = 48491550

Properties of LCM 9846 and 9850

(i) The LCM of 9850 and 9846 is associative

LCM of 9846 and 9850 = LCM of 9850 and 9846

Related Least Common Multiples of 9846

Related Least Common Multiples of 9850

Frequently Asked Questions on LCM of 9846 and 9850

1. What is the LCM of 9846 and 9850?

Answer: LCM of 9846 and 9850 is 48491550.

2. What are the Factors of 9846?

Answer: Factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846. There are 12 integers that are factors of 9846. The greatest factor of 9846 is 9846.

3. What are the Factors of 9850?

Answer: Factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850. There are 12 integers that are factors of 9850. The greatest factor of 9850 is 9850.

4. How to Find the LCM of 9846 and 9850?

Answer:

Least Common Multiple of 9846 and 9850 = 48491550

Step 1: Find the prime factorization of 9846

9846 = 2 x 3 x 3 x 547

Step 2: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

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

LCM = 48491550 = 2 x 3 x 3 x 5 x 5 x 197 x 547

Step 4: Therefore, the least common multiple of 9846 and 9850 is 48491550.