Least Common Multiple of 935 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 935 and 941 the smallest integer that is 879835 that is divisible by both numbers.

Least Common Multiple (LCM) of 935 and 941 is 879835.

LCM(935,941) = 879835

LCM of 935 and 941

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

LCM of:
and

Least Common Multiple of 935 and 941

LCM of 935 and 941 is 879835

Least common multiple can be found by multiplying the highest exponent prime factors of 935 and 941. First we will calculate the prime factors of 935 and 941.

Prime Factorization of 935


5 935
11 187
17 17
1

Prime factors of 935 are 5, 11,17. Prime factorization of 935 in exponential form is:

935 = 51×111×171

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 935 and 941.

LCM(935,941) = 51×111×171×9411
LCM(935,941) = 879835

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Factors of 941

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

1, 941

Least Common Multiple of 935 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 935 and 941, than apply into the LCM equation.

GCF(935,941) = 1
LCM(935,941) = ( 935 × 941) / 1
LCM(935,941) = 879835 / 1
LCM(935,941) = 879835

Properties of LCM 935 and 941

(i) The LCM of 941 and 935 is associative

LCM of 935 and 941 = LCM of 941 and 935

Related Least Common Multiples of 935

Related Least Common Multiples of 941

Frequently Asked Questions on LCM of 935 and 941

1. What is the LCM of 935 and 941?

Answer: LCM of 935 and 941 is 879835.

2. What are the Factors of 935?

Answer: Factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935. There are 8 integers that are factors of 935. The greatest factor of 935 is 935.

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 935 and 941?

Answer:

Least Common Multiple of 935 and 941 = 879835

Step 1: Find the prime factorization of 935

935 = 5 x 11 x 17

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 = 879835 = 5 x 11 x 17 x 941

Step 4: Therefore, the least common multiple of 935 and 941 is 879835.