Least Common Multiple of 4957 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 4957 and 4961 the smallest integer that is 24591677 that is divisible by both numbers.

Least Common Multiple (LCM) of 4957 and 4961 is 24591677.

LCM(4957,4961) = 24591677

LCM of 4957 and 4961

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

LCM of:
and

Least Common Multiple of 4957 and 4961

LCM of 4957 and 4961 is 24591677

Least common multiple can be found by multiplying the highest exponent prime factors of 4957 and 4961. First we will calculate the prime factors of 4957 and 4961.

Prime Factorization of 4957


4957 4957
1

Prime factors of 4957 are 4957. Prime factorization of 4957 in exponential form is:

4957 = 49571

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 4957 and 4961.

LCM(4957,4961) = 112×411×49571
LCM(4957,4961) = 24591677

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1, 4957

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 4957 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 4957 and 4961, than apply into the LCM equation.

GCF(4957,4961) = 1
LCM(4957,4961) = ( 4957 × 4961) / 1
LCM(4957,4961) = 24591677 / 1
LCM(4957,4961) = 24591677

Properties of LCM 4957 and 4961

(i) The LCM of 4961 and 4957 is associative

LCM of 4957 and 4961 = LCM of 4961 and 4957

Related Least Common Multiples of 4957

Related Least Common Multiples of 4961

Frequently Asked Questions on LCM of 4957 and 4961

1. What is the LCM of 4957 and 4961?

Answer: LCM of 4957 and 4961 is 24591677.

2. What are the Factors of 4957?

Answer: Factors of 4957 are 1, 4957. There are 2 integers that are factors of 4957. The greatest factor of 4957 is 4957.

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 4957 and 4961?

Answer:

Least Common Multiple of 4957 and 4961 = 24591677

Step 1: Find the prime factorization of 4957

4957 = 4957

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 = 24591677 = 11 x 11 x 41 x 4957

Step 4: Therefore, the least common multiple of 4957 and 4961 is 24591677.