Least Common Multiple of 8945 and 8950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8945 and 8950 the smallest integer that is 16011550 that is divisible by both numbers.

Least Common Multiple (LCM) of 8945 and 8950 is 16011550.

LCM(8945,8950) = 16011550

LCM of 8945 and 8950

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

LCM of:
and

Least Common Multiple of 8945 and 8950

LCM of 8945 and 8950 is 16011550

Least common multiple can be found by multiplying the highest exponent prime factors of 8945 and 8950. First we will calculate the prime factors of 8945 and 8950.

Prime Factorization of 8945


5 8945
1789 1789
1

Prime factors of 8945 are 5,1789. Prime factorization of 8945 in exponential form is:

8945 = 51×17891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8945 and 8950.

LCM(8945,8950) = 21×52×1791×17891
LCM(8945,8950) = 16011550

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1, 5, 1789, 8945

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

Least Common Multiple of 8945 and 8950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8945 and 8950, than apply into the LCM equation.

GCF(8945,8950) = 5
LCM(8945,8950) = ( 8945 × 8950) / 5
LCM(8945,8950) = 80057750 / 5
LCM(8945,8950) = 16011550

Properties of LCM 8945 and 8950

(i) The LCM of 8950 and 8945 is associative

LCM of 8945 and 8950 = LCM of 8950 and 8945

Related Least Common Multiples of 8945

Related Least Common Multiples of 8950

Frequently Asked Questions on LCM of 8945 and 8950

1. What is the LCM of 8945 and 8950?

Answer: LCM of 8945 and 8950 is 16011550.

2. What are the Factors of 8945?

Answer: Factors of 8945 are 1, 5, 1789, 8945. There are 4 integers that are factors of 8945. The greatest factor of 8945 is 8945.

3. 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.

4. How to Find the LCM of 8945 and 8950?

Answer:

Least Common Multiple of 8945 and 8950 = 16011550

Step 1: Find the prime factorization of 8945

8945 = 5 x 1789

Step 2: Find the prime factorization of 8950

8950 = 2 x 5 x 5 x 179

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

LCM = 16011550 = 2 x 5 x 5 x 179 x 1789

Step 4: Therefore, the least common multiple of 8945 and 8950 is 16011550.