Least Common Multiple of 936 and 939

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 939 the smallest integer that is 292968 that is divisible by both numbers.

Least Common Multiple (LCM) of 936 and 939 is 292968.

LCM(936,939) = 292968

LCM of 936 and 939

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

LCM of:
and

Least Common Multiple of 936 and 939

LCM of 936 and 939 is 292968

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 939. First we will calculate the prime factors of 936 and 939.

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 939


3 939
313 313
1

Prime factors of 939 are 3,313. Prime factorization of 939 in exponential form is:

939 = 31×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 936 and 939.

LCM(936,939) = 23×32×131×3131
LCM(936,939) = 292968

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 939

List of positive integer factors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Least Common Multiple of 936 and 939 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 939, than apply into the LCM equation.

GCF(936,939) = 3
LCM(936,939) = ( 936 × 939) / 3
LCM(936,939) = 878904 / 3
LCM(936,939) = 292968

Properties of LCM 936 and 939

(i) The LCM of 939 and 936 is associative

LCM of 936 and 939 = LCM of 939 and 936

Related Least Common Multiples of 936

Related Least Common Multiples of 939

Frequently Asked Questions on LCM of 936 and 939

1. What is the LCM of 936 and 939?

Answer: LCM of 936 and 939 is 292968.

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 939?

Answer: Factors of 939 are 1, 3, 313, 939. There are 4 integers that are factors of 939. The greatest factor of 939 is 939.

4. How to Find the LCM of 936 and 939?

Answer:

Least Common Multiple of 936 and 939 = 292968

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 939

939 = 3 x 313

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

LCM = 292968 = 2 x 2 x 2 x 3 x 3 x 13 x 313

Step 4: Therefore, the least common multiple of 936 and 939 is 292968.