Least Common Multiple of 4936 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 4936 and 4940 the smallest integer that is 6095960 that is divisible by both numbers.

Least Common Multiple (LCM) of 4936 and 4940 is 6095960.

LCM(4936,4940) = 6095960

LCM of 4936 and 4940

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

LCM of:
and

Least Common Multiple of 4936 and 4940

LCM of 4936 and 4940 is 6095960

Least common multiple can be found by multiplying the highest exponent prime factors of 4936 and 4940. First we will calculate the prime factors of 4936 and 4940.

Prime Factorization of 4936


2 4936
2 2468
2 1234
617 617
1

Prime factors of 4936 are 2,617. Prime factorization of 4936 in exponential form is:

4936 = 23×6171

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 4936 and 4940.

LCM(4936,4940) = 23×51×131×191×6171
LCM(4936,4940) = 6095960

Factors of 4936

List of positive integer factors of 4936 that divides 4936 without a remainder.

1, 2, 4, 8, 617, 1234, 2468, 4936

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 4936 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 4936 and 4940, than apply into the LCM equation.

GCF(4936,4940) = 4
LCM(4936,4940) = ( 4936 × 4940) / 4
LCM(4936,4940) = 24383840 / 4
LCM(4936,4940) = 6095960

Properties of LCM 4936 and 4940

(i) The LCM of 4940 and 4936 is associative

LCM of 4936 and 4940 = LCM of 4940 and 4936

Related Least Common Multiples of 4936

Related Least Common Multiples of 4940

Frequently Asked Questions on LCM of 4936 and 4940

1. What is the LCM of 4936 and 4940?

Answer: LCM of 4936 and 4940 is 6095960.

2. What are the Factors of 4936?

Answer: Factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936. There are 8 integers that are factors of 4936. The greatest factor of 4936 is 4936.

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 4936 and 4940?

Answer:

Least Common Multiple of 4936 and 4940 = 6095960

Step 1: Find the prime factorization of 4936

4936 = 2 x 2 x 2 x 617

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 = 6095960 = 2 x 2 x 2 x 5 x 13 x 19 x 617

Step 4: Therefore, the least common multiple of 4936 and 4940 is 6095960.