Least Common Multiple of 4935 and 4940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4935 and 4940 the smallest integer that is 4875780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4935 and 4940 is 4875780.

LCM(4935,4940) = 4875780

LCM of 4935 and 4940

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

LCM of:
and

Least Common Multiple of 4935 and 4940

LCM of 4935 and 4940 is 4875780

Least common multiple can be found by multiplying the highest exponent prime factors of 4935 and 4940. First we will calculate the prime factors of 4935 and 4940.

Prime Factorization of 4935


3 4935
5 1645
7 329
47 47
1

Prime factors of 4935 are 3, 5, 7,47. Prime factorization of 4935 in exponential form is:

4935 = 31×51×71×471

Prime Factorization of 4940


2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 4940 are 2, 5, 13,19. Prime factorization of 4940 in exponential form is:

4940 = 22×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4935 and 4940.

LCM(4935,4940) = 22×31×51×71×131×191×471
LCM(4935,4940) = 4875780

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940

Least Common Multiple of 4935 and 4940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4935 and 4940, than apply into the LCM equation.

GCF(4935,4940) = 5
LCM(4935,4940) = ( 4935 × 4940) / 5
LCM(4935,4940) = 24378900 / 5
LCM(4935,4940) = 4875780

Properties of LCM 4935 and 4940

(i) The LCM of 4940 and 4935 is associative

LCM of 4935 and 4940 = LCM of 4940 and 4935

Related Least Common Multiples of 4935

Related Least Common Multiples of 4940

Frequently Asked Questions on LCM of 4935 and 4940

1. What is the LCM of 4935 and 4940?

Answer: LCM of 4935 and 4940 is 4875780.

2. What are the Factors of 4935?

Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.

3. What are the Factors of 4940?

Answer: Factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940. There are 24 integers that are factors of 4940. The greatest factor of 4940 is 4940.

4. How to Find the LCM of 4935 and 4940?

Answer:

Least Common Multiple of 4935 and 4940 = 4875780

Step 1: Find the prime factorization of 4935

4935 = 3 x 5 x 7 x 47

Step 2: Find the prime factorization of 4940

4940 = 2 x 2 x 5 x 13 x 19

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

LCM = 4875780 = 2 x 2 x 3 x 5 x 7 x 13 x 19 x 47

Step 4: Therefore, the least common multiple of 4935 and 4940 is 4875780.