Least Common Multiple of 2935 and 2939

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 2939 the smallest integer that is 8625965 that is divisible by both numbers.

Least Common Multiple (LCM) of 2935 and 2939 is 8625965.

LCM(2935,2939) = 8625965

LCM of 2935 and 2939

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

LCM of:
and

Least Common Multiple of 2935 and 2939

LCM of 2935 and 2939 is 8625965

Least common multiple can be found by multiplying the highest exponent prime factors of 2935 and 2939. First we will calculate the prime factors of 2935 and 2939.

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 2939


2939 2939
1

Prime factors of 2939 are 2939. Prime factorization of 2939 in exponential form is:

2939 = 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 2935 and 2939.

LCM(2935,2939) = 51×5871×29391
LCM(2935,2939) = 8625965

Factors of 2935

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

1, 5, 587, 2935

Factors of 2939

List of positive integer factors of 2939 that divides 2939 without a remainder.

1, 2939

Least Common Multiple of 2935 and 2939 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 2939, than apply into the LCM equation.

GCF(2935,2939) = 1
LCM(2935,2939) = ( 2935 × 2939) / 1
LCM(2935,2939) = 8625965 / 1
LCM(2935,2939) = 8625965

Properties of LCM 2935 and 2939

(i) The LCM of 2939 and 2935 is associative

LCM of 2935 and 2939 = LCM of 2939 and 2935

Related Least Common Multiples of 2935

Related Least Common Multiples of 2939

Frequently Asked Questions on LCM of 2935 and 2939

1. What is the LCM of 2935 and 2939?

Answer: LCM of 2935 and 2939 is 8625965.

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 2939?

Answer: Factors of 2939 are 1, 2939. There are 2 integers that are factors of 2939. The greatest factor of 2939 is 2939.

4. How to Find the LCM of 2935 and 2939?

Answer:

Least Common Multiple of 2935 and 2939 = 8625965

Step 1: Find the prime factorization of 2935

2935 = 5 x 587

Step 2: Find the prime factorization of 2939

2939 = 2939

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

LCM = 8625965 = 5 x 587 x 2939

Step 4: Therefore, the least common multiple of 2935 and 2939 is 8625965.