Least Common Multiple of 9883 and 9891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9883 and 9891 the smallest integer that is 97752753 that is divisible by both numbers.

Least Common Multiple (LCM) of 9883 and 9891 is 97752753.

LCM(9883,9891) = 97752753

LCM of 9883 and 9891

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

LCM of:
and

Least Common Multiple of 9883 and 9891

LCM of 9883 and 9891 is 97752753

Least common multiple can be found by multiplying the highest exponent prime factors of 9883 and 9891. First we will calculate the prime factors of 9883 and 9891.

Prime Factorization of 9883


9883 9883
1

Prime factors of 9883 are 9883. Prime factorization of 9883 in exponential form is:

9883 = 98831

Prime Factorization of 9891


3 9891
3 3297
7 1099
157 157
1

Prime factors of 9891 are 3, 7,157. Prime factorization of 9891 in exponential form is:

9891 = 32×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9883 and 9891.

LCM(9883,9891) = 32×71×1571×98831
LCM(9883,9891) = 97752753

Factors of 9883

List of positive integer factors of 9883 that divides 9883 without a remainder.

1, 9883

Factors of 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891

Least Common Multiple of 9883 and 9891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9883 and 9891, than apply into the LCM equation.

GCF(9883,9891) = 1
LCM(9883,9891) = ( 9883 × 9891) / 1
LCM(9883,9891) = 97752753 / 1
LCM(9883,9891) = 97752753

Properties of LCM 9883 and 9891

(i) The LCM of 9891 and 9883 is associative

LCM of 9883 and 9891 = LCM of 9891 and 9883

Related Least Common Multiples of 9883

Related Least Common Multiples of 9891

Frequently Asked Questions on LCM of 9883 and 9891

1. What is the LCM of 9883 and 9891?

Answer: LCM of 9883 and 9891 is 97752753.

2. What are the Factors of 9883?

Answer: Factors of 9883 are 1, 9883. There are 2 integers that are factors of 9883. The greatest factor of 9883 is 9883.

3. What are the Factors of 9891?

Answer: Factors of 9891 are 1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891. There are 12 integers that are factors of 9891. The greatest factor of 9891 is 9891.

4. How to Find the LCM of 9883 and 9891?

Answer:

Least Common Multiple of 9883 and 9891 = 97752753

Step 1: Find the prime factorization of 9883

9883 = 9883

Step 2: Find the prime factorization of 9891

9891 = 3 x 3 x 7 x 157

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

LCM = 97752753 = 3 x 3 x 7 x 157 x 9883

Step 4: Therefore, the least common multiple of 9883 and 9891 is 97752753.