Least Common Multiple of 8961 and 8963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8961 and 8963 the smallest integer that is 80317443 that is divisible by both numbers.

Least Common Multiple (LCM) of 8961 and 8963 is 80317443.

LCM(8961,8963) = 80317443

LCM of 8961 and 8963

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

LCM of:
and

Least Common Multiple of 8961 and 8963

LCM of 8961 and 8963 is 80317443

Least common multiple can be found by multiplying the highest exponent prime factors of 8961 and 8963. First we will calculate the prime factors of 8961 and 8963.

Prime Factorization of 8961


3 8961
29 2987
103 103
1

Prime factors of 8961 are 3, 29,103. Prime factorization of 8961 in exponential form is:

8961 = 31×291×1031

Prime Factorization of 8963


8963 8963
1

Prime factors of 8963 are 8963. Prime factorization of 8963 in exponential form is:

8963 = 89631

Now multiplying the highest exponent prime factors to calculate the LCM of 8961 and 8963.

LCM(8961,8963) = 31×291×1031×89631
LCM(8961,8963) = 80317443

Factors of 8961

List of positive integer factors of 8961 that divides 8961 without a remainder.

1, 3, 29, 87, 103, 309, 2987, 8961

Factors of 8963

List of positive integer factors of 8963 that divides 8963 without a remainder.

1, 8963

Least Common Multiple of 8961 and 8963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8961 and 8963, than apply into the LCM equation.

GCF(8961,8963) = 1
LCM(8961,8963) = ( 8961 × 8963) / 1
LCM(8961,8963) = 80317443 / 1
LCM(8961,8963) = 80317443

Properties of LCM 8961 and 8963

(i) The LCM of 8963 and 8961 is associative

LCM of 8961 and 8963 = LCM of 8963 and 8961

Related Least Common Multiples of 8961

Related Least Common Multiples of 8963

Frequently Asked Questions on LCM of 8961 and 8963

1. What is the LCM of 8961 and 8963?

Answer: LCM of 8961 and 8963 is 80317443.

2. What are the Factors of 8961?

Answer: Factors of 8961 are 1, 3, 29, 87, 103, 309, 2987, 8961. There are 8 integers that are factors of 8961. The greatest factor of 8961 is 8961.

3. What are the Factors of 8963?

Answer: Factors of 8963 are 1, 8963. There are 2 integers that are factors of 8963. The greatest factor of 8963 is 8963.

4. How to Find the LCM of 8961 and 8963?

Answer:

Least Common Multiple of 8961 and 8963 = 80317443

Step 1: Find the prime factorization of 8961

8961 = 3 x 29 x 103

Step 2: Find the prime factorization of 8963

8963 = 8963

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

LCM = 80317443 = 3 x 29 x 103 x 8963

Step 4: Therefore, the least common multiple of 8961 and 8963 is 80317443.