Least Common Multiple of 9827 and 9832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9827 and 9832 the smallest integer that is 96619064 that is divisible by both numbers.

Least Common Multiple (LCM) of 9827 and 9832 is 96619064.

LCM(9827,9832) = 96619064

LCM of 9827 and 9832

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

LCM of:
and

Least Common Multiple of 9827 and 9832

LCM of 9827 and 9832 is 96619064

Least common multiple can be found by multiplying the highest exponent prime factors of 9827 and 9832. First we will calculate the prime factors of 9827 and 9832.

Prime Factorization of 9827


31 9827
317 317
1

Prime factors of 9827 are 31,317. Prime factorization of 9827 in exponential form is:

9827 = 311×3171

Prime Factorization of 9832


2 9832
2 4916
2 2458
1229 1229
1

Prime factors of 9832 are 2,1229. Prime factorization of 9832 in exponential form is:

9832 = 23×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 9827 and 9832.

LCM(9827,9832) = 23×311×3171×12291
LCM(9827,9832) = 96619064

Factors of 9827

List of positive integer factors of 9827 that divides 9827 without a remainder.

1, 31, 317, 9827

Factors of 9832

List of positive integer factors of 9832 that divides 9832 without a remainder.

1, 2, 4, 8, 1229, 2458, 4916, 9832

Least Common Multiple of 9827 and 9832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9827 and 9832, than apply into the LCM equation.

GCF(9827,9832) = 1
LCM(9827,9832) = ( 9827 × 9832) / 1
LCM(9827,9832) = 96619064 / 1
LCM(9827,9832) = 96619064

Properties of LCM 9827 and 9832

(i) The LCM of 9832 and 9827 is associative

LCM of 9827 and 9832 = LCM of 9832 and 9827

Related Least Common Multiples of 9827

Related Least Common Multiples of 9832

Frequently Asked Questions on LCM of 9827 and 9832

1. What is the LCM of 9827 and 9832?

Answer: LCM of 9827 and 9832 is 96619064.

2. What are the Factors of 9827?

Answer: Factors of 9827 are 1, 31, 317, 9827. There are 4 integers that are factors of 9827. The greatest factor of 9827 is 9827.

3. What are the Factors of 9832?

Answer: Factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832. There are 8 integers that are factors of 9832. The greatest factor of 9832 is 9832.

4. How to Find the LCM of 9827 and 9832?

Answer:

Least Common Multiple of 9827 and 9832 = 96619064

Step 1: Find the prime factorization of 9827

9827 = 31 x 317

Step 2: Find the prime factorization of 9832

9832 = 2 x 2 x 2 x 1229

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

LCM = 96619064 = 2 x 2 x 2 x 31 x 317 x 1229

Step 4: Therefore, the least common multiple of 9827 and 9832 is 96619064.