Least Common Multiple of 4940 and 4941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4940 and 4941 the smallest integer that is 24408540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4940 and 4941 is 24408540.

LCM(4940,4941) = 24408540

LCM of 4940 and 4941

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

LCM of:
and

Least Common Multiple of 4940 and 4941

LCM of 4940 and 4941 is 24408540

Least common multiple can be found by multiplying the highest exponent prime factors of 4940 and 4941. First we will calculate the prime factors of 4940 and 4941.

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

Prime Factorization of 4941


3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 4941 are 3,61. Prime factorization of 4941 in exponential form is:

4941 = 34×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4940 and 4941.

LCM(4940,4941) = 22×34×51×131×191×611
LCM(4940,4941) = 24408540

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

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941

Least Common Multiple of 4940 and 4941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4940 and 4941, than apply into the LCM equation.

GCF(4940,4941) = 1
LCM(4940,4941) = ( 4940 × 4941) / 1
LCM(4940,4941) = 24408540 / 1
LCM(4940,4941) = 24408540

Properties of LCM 4940 and 4941

(i) The LCM of 4941 and 4940 is associative

LCM of 4940 and 4941 = LCM of 4941 and 4940

Related Least Common Multiples of 4940

Related Least Common Multiples of 4941

Frequently Asked Questions on LCM of 4940 and 4941

1. What is the LCM of 4940 and 4941?

Answer: LCM of 4940 and 4941 is 24408540.

2. 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.

3. What are the Factors of 4941?

Answer: Factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941. There are 10 integers that are factors of 4941. The greatest factor of 4941 is 4941.

4. How to Find the LCM of 4940 and 4941?

Answer:

Least Common Multiple of 4940 and 4941 = 24408540

Step 1: Find the prime factorization of 4940

4940 = 2 x 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 4941

4941 = 3 x 3 x 3 x 3 x 61

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

LCM = 24408540 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 19 x 61

Step 4: Therefore, the least common multiple of 4940 and 4941 is 24408540.