Least Common Multiple of 936 and 941

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 941 the smallest integer that is 880776 that is divisible by both numbers.

Least Common Multiple (LCM) of 936 and 941 is 880776.

LCM(936,941) = 880776

LCM of 936 and 941

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

LCM of:
and

Least Common Multiple of 936 and 941

LCM of 936 and 941 is 880776

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 941. First we will calculate the prime factors of 936 and 941.

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 941


941 941
1

Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:

941 = 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 936 and 941.

LCM(936,941) = 23×32×131×9411
LCM(936,941) = 880776

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 941

List of positive integer factors of 941 that divides 941 without a remainder.

1, 941

Least Common Multiple of 936 and 941 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 941, than apply into the LCM equation.

GCF(936,941) = 1
LCM(936,941) = ( 936 × 941) / 1
LCM(936,941) = 880776 / 1
LCM(936,941) = 880776

Properties of LCM 936 and 941

(i) The LCM of 941 and 936 is associative

LCM of 936 and 941 = LCM of 941 and 936

Related Least Common Multiples of 936

Related Least Common Multiples of 941

Frequently Asked Questions on LCM of 936 and 941

1. What is the LCM of 936 and 941?

Answer: LCM of 936 and 941 is 880776.

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 941?

Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.

4. How to Find the LCM of 936 and 941?

Answer:

Least Common Multiple of 936 and 941 = 880776

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 941

941 = 941

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

LCM = 880776 = 2 x 2 x 2 x 3 x 3 x 13 x 941

Step 4: Therefore, the least common multiple of 936 and 941 is 880776.