Least Common Multiple of 8954 and 8961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8954 and 8961 the smallest integer that is 80236794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8954 and 8961 is 80236794.

LCM(8954,8961) = 80236794

LCM of 8954 and 8961

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

LCM of:
and

Least Common Multiple of 8954 and 8961

LCM of 8954 and 8961 is 80236794

Least common multiple can be found by multiplying the highest exponent prime factors of 8954 and 8961. First we will calculate the prime factors of 8954 and 8961.

Prime Factorization of 8954


2 8954
11 4477
11 407
37 37
1

Prime factors of 8954 are 2, 11,37. Prime factorization of 8954 in exponential form is:

8954 = 21×112×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8954 and 8961.

LCM(8954,8961) = 21×31×112×291×371×1031
LCM(8954,8961) = 80236794

Factors of 8954

List of positive integer factors of 8954 that divides 8954 without a remainder.

1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954

Factors of 8961

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

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

Least Common Multiple of 8954 and 8961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8954 and 8961, than apply into the LCM equation.

GCF(8954,8961) = 1
LCM(8954,8961) = ( 8954 × 8961) / 1
LCM(8954,8961) = 80236794 / 1
LCM(8954,8961) = 80236794

Properties of LCM 8954 and 8961

(i) The LCM of 8961 and 8954 is associative

LCM of 8954 and 8961 = LCM of 8961 and 8954

Related Least Common Multiples of 8954

Related Least Common Multiples of 8961

Frequently Asked Questions on LCM of 8954 and 8961

1. What is the LCM of 8954 and 8961?

Answer: LCM of 8954 and 8961 is 80236794.

2. What are the Factors of 8954?

Answer: Factors of 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954. There are 12 integers that are factors of 8954. The greatest factor of 8954 is 8954.

3. 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.

4. How to Find the LCM of 8954 and 8961?

Answer:

Least Common Multiple of 8954 and 8961 = 80236794

Step 1: Find the prime factorization of 8954

8954 = 2 x 11 x 11 x 37

Step 2: Find the prime factorization of 8961

8961 = 3 x 29 x 103

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

LCM = 80236794 = 2 x 3 x 11 x 11 x 29 x 37 x 103

Step 4: Therefore, the least common multiple of 8954 and 8961 is 80236794.