Least Common Multiple of 4940 and 4946

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 4946 the smallest integer that is 12216620 that is divisible by both numbers.

Least Common Multiple (LCM) of 4940 and 4946 is 12216620.

LCM(4940,4946) = 12216620

LCM of 4940 and 4946

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

LCM of:
and

Least Common Multiple of 4940 and 4946

LCM of 4940 and 4946 is 12216620

Least common multiple can be found by multiplying the highest exponent prime factors of 4940 and 4946. First we will calculate the prime factors of 4940 and 4946.

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 4946


2 4946
2473 2473
1

Prime factors of 4946 are 2,2473. Prime factorization of 4946 in exponential form is:

4946 = 21×24731

Now multiplying the highest exponent prime factors to calculate the LCM of 4940 and 4946.

LCM(4940,4946) = 22×51×131×191×24731
LCM(4940,4946) = 12216620

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 4946

List of positive integer factors of 4946 that divides 4946 without a remainder.

1, 2, 2473, 4946

Least Common Multiple of 4940 and 4946 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 4946, than apply into the LCM equation.

GCF(4940,4946) = 2
LCM(4940,4946) = ( 4940 × 4946) / 2
LCM(4940,4946) = 24433240 / 2
LCM(4940,4946) = 12216620

Properties of LCM 4940 and 4946

(i) The LCM of 4946 and 4940 is associative

LCM of 4940 and 4946 = LCM of 4946 and 4940

Related Least Common Multiples of 4940

Related Least Common Multiples of 4946

Frequently Asked Questions on LCM of 4940 and 4946

1. What is the LCM of 4940 and 4946?

Answer: LCM of 4940 and 4946 is 12216620.

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 4946?

Answer: Factors of 4946 are 1, 2, 2473, 4946. There are 4 integers that are factors of 4946. The greatest factor of 4946 is 4946.

4. How to Find the LCM of 4940 and 4946?

Answer:

Least Common Multiple of 4940 and 4946 = 12216620

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 4946

4946 = 2 x 2473

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

LCM = 12216620 = 2 x 2 x 5 x 13 x 19 x 2473

Step 4: Therefore, the least common multiple of 4940 and 4946 is 12216620.