Least Common Multiple of 4956 and 4961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4956 and 4961 the smallest integer that is 24586716 that is divisible by both numbers.

Least Common Multiple (LCM) of 4956 and 4961 is 24586716.

LCM(4956,4961) = 24586716

LCM of 4956 and 4961

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

LCM of:
and

Least Common Multiple of 4956 and 4961

LCM of 4956 and 4961 is 24586716

Least common multiple can be found by multiplying the highest exponent prime factors of 4956 and 4961. First we will calculate the prime factors of 4956 and 4961.

Prime Factorization of 4956


2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 4956 are 2, 3, 7,59. Prime factorization of 4956 in exponential form is:

4956 = 22×31×71×591

Prime Factorization of 4961


11 4961
11 451
41 41
1

Prime factors of 4961 are 11,41. Prime factorization of 4961 in exponential form is:

4961 = 112×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4956 and 4961.

LCM(4956,4961) = 22×31×71×112×411×591
LCM(4956,4961) = 24586716

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956

Factors of 4961

List of positive integer factors of 4961 that divides 4961 without a remainder.

1, 11, 41, 121, 451, 4961

Least Common Multiple of 4956 and 4961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4956 and 4961, than apply into the LCM equation.

GCF(4956,4961) = 1
LCM(4956,4961) = ( 4956 × 4961) / 1
LCM(4956,4961) = 24586716 / 1
LCM(4956,4961) = 24586716

Properties of LCM 4956 and 4961

(i) The LCM of 4961 and 4956 is associative

LCM of 4956 and 4961 = LCM of 4961 and 4956

Related Least Common Multiples of 4956

Related Least Common Multiples of 4961

Frequently Asked Questions on LCM of 4956 and 4961

1. What is the LCM of 4956 and 4961?

Answer: LCM of 4956 and 4961 is 24586716.

2. What are the Factors of 4956?

Answer: Factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956. There are 24 integers that are factors of 4956. The greatest factor of 4956 is 4956.

3. What are the Factors of 4961?

Answer: Factors of 4961 are 1, 11, 41, 121, 451, 4961. There are 6 integers that are factors of 4961. The greatest factor of 4961 is 4961.

4. How to Find the LCM of 4956 and 4961?

Answer:

Least Common Multiple of 4956 and 4961 = 24586716

Step 1: Find the prime factorization of 4956

4956 = 2 x 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 4961

4961 = 11 x 11 x 41

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

LCM = 24586716 = 2 x 2 x 3 x 7 x 11 x 11 x 41 x 59

Step 4: Therefore, the least common multiple of 4956 and 4961 is 24586716.