Least Common Multiple of 8950 and 8956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8950 and 8956 the smallest integer that is 40078100 that is divisible by both numbers.

Least Common Multiple (LCM) of 8950 and 8956 is 40078100.

LCM(8950,8956) = 40078100

LCM of 8950 and 8956

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

LCM of:
and

Least Common Multiple of 8950 and 8956

LCM of 8950 and 8956 is 40078100

Least common multiple can be found by multiplying the highest exponent prime factors of 8950 and 8956. First we will calculate the prime factors of 8950 and 8956.

Prime Factorization of 8950


2 8950
5 4475
5 895
179 179
1

Prime factors of 8950 are 2, 5,179. Prime factorization of 8950 in exponential form is:

8950 = 21×52×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8950 and 8956.

LCM(8950,8956) = 22×52×1791×22391
LCM(8950,8956) = 40078100

Factors of 8950

List of positive integer factors of 8950 that divides 8950 without a remainder.

1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950

Factors of 8956

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

1, 2, 4, 2239, 4478, 8956

Least Common Multiple of 8950 and 8956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8950 and 8956, than apply into the LCM equation.

GCF(8950,8956) = 2
LCM(8950,8956) = ( 8950 × 8956) / 2
LCM(8950,8956) = 80156200 / 2
LCM(8950,8956) = 40078100

Properties of LCM 8950 and 8956

(i) The LCM of 8956 and 8950 is associative

LCM of 8950 and 8956 = LCM of 8956 and 8950

Related Least Common Multiples of 8950

Related Least Common Multiples of 8956

Frequently Asked Questions on LCM of 8950 and 8956

1. What is the LCM of 8950 and 8956?

Answer: LCM of 8950 and 8956 is 40078100.

2. What are the Factors of 8950?

Answer: Factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950. There are 12 integers that are factors of 8950. The greatest factor of 8950 is 8950.

3. 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.

4. How to Find the LCM of 8950 and 8956?

Answer:

Least Common Multiple of 8950 and 8956 = 40078100

Step 1: Find the prime factorization of 8950

8950 = 2 x 5 x 5 x 179

Step 2: Find the prime factorization of 8956

8956 = 2 x 2 x 2239

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

LCM = 40078100 = 2 x 2 x 5 x 5 x 179 x 2239

Step 4: Therefore, the least common multiple of 8950 and 8956 is 40078100.