Least Common Multiple of 936 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 936 and 943 the smallest integer that is 882648 that is divisible by both numbers.

Least Common Multiple (LCM) of 936 and 943 is 882648.

LCM(936,943) = 882648

LCM of 936 and 943

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

LCM of:
and

Least Common Multiple of 936 and 943

LCM of 936 and 943 is 882648

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 943. First we will calculate the prime factors of 936 and 943.

Prime Factorization of 936


2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 936 are 2, 3,13. Prime factorization of 936 in exponential form is:

936 = 23×32×131

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 936 and 943.

LCM(936,943) = 23×32×131×231×411
LCM(936,943) = 882648

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Factors of 943

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

1, 23, 41, 943

Least Common Multiple of 936 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 936 and 943, than apply into the LCM equation.

GCF(936,943) = 1
LCM(936,943) = ( 936 × 943) / 1
LCM(936,943) = 882648 / 1
LCM(936,943) = 882648

Properties of LCM 936 and 943

(i) The LCM of 943 and 936 is associative

LCM of 936 and 943 = LCM of 943 and 936

Related Least Common Multiples of 936

Related Least Common Multiples of 943

Frequently Asked Questions on LCM of 936 and 943

1. What is the LCM of 936 and 943?

Answer: LCM of 936 and 943 is 882648.

2. What are the Factors of 936?

Answer: Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. There are 24 integers that are factors of 936. The greatest factor of 936 is 936.

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 936 and 943?

Answer:

Least Common Multiple of 936 and 943 = 882648

Step 1: Find the prime factorization of 936

936 = 2 x 2 x 2 x 3 x 3 x 13

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 = 882648 = 2 x 2 x 2 x 3 x 3 x 13 x 23 x 41

Step 4: Therefore, the least common multiple of 936 and 943 is 882648.