Least Common Multiple of 936 and 940

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 940 the smallest integer that is 219960 that is divisible by both numbers.

Least Common Multiple (LCM) of 936 and 940 is 219960.

LCM(936,940) = 219960

LCM of 936 and 940

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

LCM of:
and

Least Common Multiple of 936 and 940

LCM of 936 and 940 is 219960

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 940. First we will calculate the prime factors of 936 and 940.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 936 and 940.

LCM(936,940) = 23×32×51×131×471
LCM(936,940) = 219960

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 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

Least Common Multiple of 936 and 940 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 940, than apply into the LCM equation.

GCF(936,940) = 4
LCM(936,940) = ( 936 × 940) / 4
LCM(936,940) = 879840 / 4
LCM(936,940) = 219960

Properties of LCM 936 and 940

(i) The LCM of 940 and 936 is associative

LCM of 936 and 940 = LCM of 940 and 936

Related Least Common Multiples of 936

Related Least Common Multiples of 940

Frequently Asked Questions on LCM of 936 and 940

1. What is the LCM of 936 and 940?

Answer: LCM of 936 and 940 is 219960.

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 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.

4. How to Find the LCM of 936 and 940?

Answer:

Least Common Multiple of 936 and 940 = 219960

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 940

940 = 2 x 2 x 5 x 47

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

LCM = 219960 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 47

Step 4: Therefore, the least common multiple of 936 and 940 is 219960.