Least Common Multiple of 9847 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 9847 and 9850 the smallest integer that is 96992950 that is divisible by both numbers.

Least Common Multiple (LCM) of 9847 and 9850 is 96992950.

LCM(9847,9850) = 96992950

LCM of 9847 and 9850

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

LCM of:
and

Least Common Multiple of 9847 and 9850

LCM of 9847 and 9850 is 96992950

Least common multiple can be found by multiplying the highest exponent prime factors of 9847 and 9850. First we will calculate the prime factors of 9847 and 9850.

Prime Factorization of 9847


43 9847
229 229
1

Prime factors of 9847 are 43,229. Prime factorization of 9847 in exponential form is:

9847 = 431×2291

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 9847 and 9850.

LCM(9847,9850) = 21×52×431×1971×2291
LCM(9847,9850) = 96992950

Factors of 9847

List of positive integer factors of 9847 that divides 9847 without a remainder.

1, 43, 229, 9847

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 9847 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 9847 and 9850, than apply into the LCM equation.

GCF(9847,9850) = 1
LCM(9847,9850) = ( 9847 × 9850) / 1
LCM(9847,9850) = 96992950 / 1
LCM(9847,9850) = 96992950

Properties of LCM 9847 and 9850

(i) The LCM of 9850 and 9847 is associative

LCM of 9847 and 9850 = LCM of 9850 and 9847

Related Least Common Multiples of 9847

Related Least Common Multiples of 9850

Frequently Asked Questions on LCM of 9847 and 9850

1. What is the LCM of 9847 and 9850?

Answer: LCM of 9847 and 9850 is 96992950.

2. What are the Factors of 9847?

Answer: Factors of 9847 are 1, 43, 229, 9847. There are 4 integers that are factors of 9847. The greatest factor of 9847 is 9847.

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 9847 and 9850?

Answer:

Least Common Multiple of 9847 and 9850 = 96992950

Step 1: Find the prime factorization of 9847

9847 = 43 x 229

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 = 96992950 = 2 x 5 x 5 x 43 x 197 x 229

Step 4: Therefore, the least common multiple of 9847 and 9850 is 96992950.