Least Common Multiple of 4961 and 4965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4961 and 4965 the smallest integer that is 24631365 that is divisible by both numbers.

Least Common Multiple (LCM) of 4961 and 4965 is 24631365.

LCM(4961,4965) = 24631365

LCM of 4961 and 4965

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

LCM of:
and

Least Common Multiple of 4961 and 4965

LCM of 4961 and 4965 is 24631365

Least common multiple can be found by multiplying the highest exponent prime factors of 4961 and 4965. First we will calculate the prime factors of 4961 and 4965.

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

Prime Factorization of 4965


3 4965
5 1655
331 331
1

Prime factors of 4965 are 3, 5,331. Prime factorization of 4965 in exponential form is:

4965 = 31×51×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 4961 and 4965.

LCM(4961,4965) = 31×51×112×411×3311
LCM(4961,4965) = 24631365

Factors of 4961

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

1, 11, 41, 121, 451, 4961

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1, 3, 5, 15, 331, 993, 1655, 4965

Least Common Multiple of 4961 and 4965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4961 and 4965, than apply into the LCM equation.

GCF(4961,4965) = 1
LCM(4961,4965) = ( 4961 × 4965) / 1
LCM(4961,4965) = 24631365 / 1
LCM(4961,4965) = 24631365

Properties of LCM 4961 and 4965

(i) The LCM of 4965 and 4961 is associative

LCM of 4961 and 4965 = LCM of 4965 and 4961

Related Least Common Multiples of 4961

Related Least Common Multiples of 4965

Frequently Asked Questions on LCM of 4961 and 4965

1. What is the LCM of 4961 and 4965?

Answer: LCM of 4961 and 4965 is 24631365.

2. 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.

3. What are the Factors of 4965?

Answer: Factors of 4965 are 1, 3, 5, 15, 331, 993, 1655, 4965. There are 8 integers that are factors of 4965. The greatest factor of 4965 is 4965.

4. How to Find the LCM of 4961 and 4965?

Answer:

Least Common Multiple of 4961 and 4965 = 24631365

Step 1: Find the prime factorization of 4961

4961 = 11 x 11 x 41

Step 2: Find the prime factorization of 4965

4965 = 3 x 5 x 331

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

LCM = 24631365 = 3 x 5 x 11 x 11 x 41 x 331

Step 4: Therefore, the least common multiple of 4961 and 4965 is 24631365.