Least Common Multiple of 940 and 943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 940 and 943 the smallest integer that is 886420 that is divisible by both numbers.

Least Common Multiple (LCM) of 940 and 943 is 886420.

LCM(940,943) = 886420

LCM of 940 and 943

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

LCM of:
and

Least Common Multiple of 940 and 943

LCM of 940 and 943 is 886420

Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 943. First we will calculate the prime factors of 940 and 943.

Prime Factorization of 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 940 and 943.

LCM(940,943) = 22×51×231×411×471
LCM(940,943) = 886420

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Factors of 943

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

1, 23, 41, 943

Least Common Multiple of 940 and 943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 940 and 943, than apply into the LCM equation.

GCF(940,943) = 1
LCM(940,943) = ( 940 × 943) / 1
LCM(940,943) = 886420 / 1
LCM(940,943) = 886420

Properties of LCM 940 and 943

(i) The LCM of 943 and 940 is associative

LCM of 940 and 943 = LCM of 943 and 940

Related Least Common Multiples of 940

Related Least Common Multiples of 943

Frequently Asked Questions on LCM of 940 and 943

1. What is the LCM of 940 and 943?

Answer: LCM of 940 and 943 is 886420.

2. What are the Factors of 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

3. 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.

4. How to Find the LCM of 940 and 943?

Answer:

Least Common Multiple of 940 and 943 = 886420

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 943

943 = 23 x 41

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

LCM = 886420 = 2 x 2 x 5 x 23 x 41 x 47

Step 4: Therefore, the least common multiple of 940 and 943 is 886420.