Least Common Multiple of 9845 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 9845 and 9850 the smallest integer that is 19394650 that is divisible by both numbers.

Least Common Multiple (LCM) of 9845 and 9850 is 19394650.

LCM(9845,9850) = 19394650

LCM of 9845 and 9850

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

LCM of:
and

Least Common Multiple of 9845 and 9850

LCM of 9845 and 9850 is 19394650

Least common multiple can be found by multiplying the highest exponent prime factors of 9845 and 9850. First we will calculate the prime factors of 9845 and 9850.

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

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 9845 and 9850.

LCM(9845,9850) = 21×52×111×1791×1971
LCM(9845,9850) = 19394650

Factors of 9845

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

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

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 9845 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 9845 and 9850, than apply into the LCM equation.

GCF(9845,9850) = 5
LCM(9845,9850) = ( 9845 × 9850) / 5
LCM(9845,9850) = 96973250 / 5
LCM(9845,9850) = 19394650

Properties of LCM 9845 and 9850

(i) The LCM of 9850 and 9845 is associative

LCM of 9845 and 9850 = LCM of 9850 and 9845

Related Least Common Multiples of 9845

Related Least Common Multiples of 9850

Frequently Asked Questions on LCM of 9845 and 9850

1. What is the LCM of 9845 and 9850?

Answer: LCM of 9845 and 9850 is 19394650.

2. 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.

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 9845 and 9850?

Answer:

Least Common Multiple of 9845 and 9850 = 19394650

Step 1: Find the prime factorization of 9845

9845 = 5 x 11 x 179

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 = 19394650 = 2 x 5 x 5 x 11 x 179 x 197

Step 4: Therefore, the least common multiple of 9845 and 9850 is 19394650.