Least Common Multiple of 935 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 935 and 939 the smallest integer that is 877965 that is divisible by both numbers.

Least Common Multiple (LCM) of 935 and 939 is 877965.

LCM(935,939) = 877965

LCM of 935 and 939

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

LCM of:
and

Least Common Multiple of 935 and 939

LCM of 935 and 939 is 877965

Least common multiple can be found by multiplying the highest exponent prime factors of 935 and 939. First we will calculate the prime factors of 935 and 939.

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 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 935 and 939.

LCM(935,939) = 31×51×111×171×3131
LCM(935,939) = 877965

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 939

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

1, 3, 313, 939

Least Common Multiple of 935 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 935 and 939, than apply into the LCM equation.

GCF(935,939) = 1
LCM(935,939) = ( 935 × 939) / 1
LCM(935,939) = 877965 / 1
LCM(935,939) = 877965

Properties of LCM 935 and 939

(i) The LCM of 939 and 935 is associative

LCM of 935 and 939 = LCM of 939 and 935

Related Least Common Multiples of 935

Related Least Common Multiples of 939

Frequently Asked Questions on LCM of 935 and 939

1. What is the LCM of 935 and 939?

Answer: LCM of 935 and 939 is 877965.

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 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 935 and 939?

Answer:

Least Common Multiple of 935 and 939 = 877965

Step 1: Find the prime factorization of 935

935 = 5 x 11 x 17

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 = 877965 = 3 x 5 x 11 x 17 x 313

Step 4: Therefore, the least common multiple of 935 and 939 is 877965.