Least Common Multiple of 2935 and 2941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2935 and 2941 the smallest integer that is 8631835 that is divisible by both numbers.

Least Common Multiple (LCM) of 2935 and 2941 is 8631835.

LCM(2935,2941) = 8631835

LCM of 2935 and 2941

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

LCM of:
and

Least Common Multiple of 2935 and 2941

LCM of 2935 and 2941 is 8631835

Least common multiple can be found by multiplying the highest exponent prime factors of 2935 and 2941. First we will calculate the prime factors of 2935 and 2941.

Prime Factorization of 2935


5 2935
587 587
1

Prime factors of 2935 are 5,587. Prime factorization of 2935 in exponential form is:

2935 = 51×5871

Prime Factorization of 2941


17 2941
173 173
1

Prime factors of 2941 are 17,173. Prime factorization of 2941 in exponential form is:

2941 = 171×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2935 and 2941.

LCM(2935,2941) = 51×171×1731×5871
LCM(2935,2941) = 8631835

Factors of 2935

List of positive integer factors of 2935 that divides 2935 without a remainder.

1, 5, 587, 2935

Factors of 2941

List of positive integer factors of 2941 that divides 2941 without a remainder.

1, 17, 173, 2941

Least Common Multiple of 2935 and 2941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2935 and 2941, than apply into the LCM equation.

GCF(2935,2941) = 1
LCM(2935,2941) = ( 2935 × 2941) / 1
LCM(2935,2941) = 8631835 / 1
LCM(2935,2941) = 8631835

Properties of LCM 2935 and 2941

(i) The LCM of 2941 and 2935 is associative

LCM of 2935 and 2941 = LCM of 2941 and 2935

Related Least Common Multiples of 2935

Related Least Common Multiples of 2941

Frequently Asked Questions on LCM of 2935 and 2941

1. What is the LCM of 2935 and 2941?

Answer: LCM of 2935 and 2941 is 8631835.

2. What are the Factors of 2935?

Answer: Factors of 2935 are 1, 5, 587, 2935. There are 4 integers that are factors of 2935. The greatest factor of 2935 is 2935.

3. What are the Factors of 2941?

Answer: Factors of 2941 are 1, 17, 173, 2941. There are 4 integers that are factors of 2941. The greatest factor of 2941 is 2941.

4. How to Find the LCM of 2935 and 2941?

Answer:

Least Common Multiple of 2935 and 2941 = 8631835

Step 1: Find the prime factorization of 2935

2935 = 5 x 587

Step 2: Find the prime factorization of 2941

2941 = 17 x 173

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

LCM = 8631835 = 5 x 17 x 173 x 587

Step 4: Therefore, the least common multiple of 2935 and 2941 is 8631835.