Least Common Multiple of 8956 and 8957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8956 and 8957 the smallest integer that is 80218892 that is divisible by both numbers.

Least Common Multiple (LCM) of 8956 and 8957 is 80218892.

LCM(8956,8957) = 80218892

LCM of 8956 and 8957

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

LCM of:
and

Least Common Multiple of 8956 and 8957

LCM of 8956 and 8957 is 80218892

Least common multiple can be found by multiplying the highest exponent prime factors of 8956 and 8957. First we will calculate the prime factors of 8956 and 8957.

Prime Factorization of 8956


2 8956
2 4478
2239 2239
1

Prime factors of 8956 are 2,2239. Prime factorization of 8956 in exponential form is:

8956 = 22×22391

Prime Factorization of 8957


13 8957
13 689
53 53
1

Prime factors of 8957 are 13,53. Prime factorization of 8957 in exponential form is:

8957 = 132×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8956 and 8957.

LCM(8956,8957) = 22×132×531×22391
LCM(8956,8957) = 80218892

Factors of 8956

List of positive integer factors of 8956 that divides 8956 without a remainder.

1, 2, 4, 2239, 4478, 8956

Factors of 8957

List of positive integer factors of 8957 that divides 8957 without a remainder.

1, 13, 53, 169, 689, 8957

Least Common Multiple of 8956 and 8957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8956 and 8957, than apply into the LCM equation.

GCF(8956,8957) = 1
LCM(8956,8957) = ( 8956 × 8957) / 1
LCM(8956,8957) = 80218892 / 1
LCM(8956,8957) = 80218892

Properties of LCM 8956 and 8957

(i) The LCM of 8957 and 8956 is associative

LCM of 8956 and 8957 = LCM of 8957 and 8956

Related Least Common Multiples of 8956

Related Least Common Multiples of 8957

Frequently Asked Questions on LCM of 8956 and 8957

1. What is the LCM of 8956 and 8957?

Answer: LCM of 8956 and 8957 is 80218892.

2. What are the Factors of 8956?

Answer: Factors of 8956 are 1, 2, 4, 2239, 4478, 8956. There are 6 integers that are factors of 8956. The greatest factor of 8956 is 8956.

3. What are the Factors of 8957?

Answer: Factors of 8957 are 1, 13, 53, 169, 689, 8957. There are 6 integers that are factors of 8957. The greatest factor of 8957 is 8957.

4. How to Find the LCM of 8956 and 8957?

Answer:

Least Common Multiple of 8956 and 8957 = 80218892

Step 1: Find the prime factorization of 8956

8956 = 2 x 2 x 2239

Step 2: Find the prime factorization of 8957

8957 = 13 x 13 x 53

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

LCM = 80218892 = 2 x 2 x 13 x 13 x 53 x 2239

Step 4: Therefore, the least common multiple of 8956 and 8957 is 80218892.