Least Common Multiple of 943 and 950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 943 and 950 the smallest integer that is 895850 that is divisible by both numbers.

Least Common Multiple (LCM) of 943 and 950 is 895850.

LCM(943,950) = 895850

LCM of 943 and 950

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

LCM of:
and

Least Common Multiple of 943 and 950

LCM of 943 and 950 is 895850

Least common multiple can be found by multiplying the highest exponent prime factors of 943 and 950. First we will calculate the prime factors of 943 and 950.

Prime Factorization of 943


23 943
41 41
1

Prime factors of 943 are 23,41. Prime factorization of 943 in exponential form is:

943 = 231×411

Prime Factorization of 950


2 950
5 475
5 95
19 19
1

Prime factors of 950 are 2, 5,19. Prime factorization of 950 in exponential form is:

950 = 21×52×191

Now multiplying the highest exponent prime factors to calculate the LCM of 943 and 950.

LCM(943,950) = 21×52×191×231×411
LCM(943,950) = 895850

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Least Common Multiple of 943 and 950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 943 and 950, than apply into the LCM equation.

GCF(943,950) = 1
LCM(943,950) = ( 943 × 950) / 1
LCM(943,950) = 895850 / 1
LCM(943,950) = 895850

Properties of LCM 943 and 950

(i) The LCM of 950 and 943 is associative

LCM of 943 and 950 = LCM of 950 and 943

Related Least Common Multiples of 943

Related Least Common Multiples of 950

Frequently Asked Questions on LCM of 943 and 950

1. What is the LCM of 943 and 950?

Answer: LCM of 943 and 950 is 895850.

2. What are the Factors of 943?

Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.

3. What are the Factors of 950?

Answer: Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. There are 12 integers that are factors of 950. The greatest factor of 950 is 950.

4. How to Find the LCM of 943 and 950?

Answer:

Least Common Multiple of 943 and 950 = 895850

Step 1: Find the prime factorization of 943

943 = 23 x 41

Step 2: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

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

LCM = 895850 = 2 x 5 x 5 x 19 x 23 x 41

Step 4: Therefore, the least common multiple of 943 and 950 is 895850.