Least Common Multiple of 4961 and 4969

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 4969 the smallest integer that is 24651209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4961 and 4969 is 24651209.

LCM(4961,4969) = 24651209

LCM of 4961 and 4969

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

LCM of:
and

Least Common Multiple of 4961 and 4969

LCM of 4961 and 4969 is 24651209

Least common multiple can be found by multiplying the highest exponent prime factors of 4961 and 4969. First we will calculate the prime factors of 4961 and 4969.

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 4969


4969 4969
1

Prime factors of 4969 are 4969. Prime factorization of 4969 in exponential form is:

4969 = 49691

Now multiplying the highest exponent prime factors to calculate the LCM of 4961 and 4969.

LCM(4961,4969) = 112×411×49691
LCM(4961,4969) = 24651209

Factors of 4961

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

1, 11, 41, 121, 451, 4961

Factors of 4969

List of positive integer factors of 4969 that divides 4969 without a remainder.

1, 4969

Least Common Multiple of 4961 and 4969 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 4969, than apply into the LCM equation.

GCF(4961,4969) = 1
LCM(4961,4969) = ( 4961 × 4969) / 1
LCM(4961,4969) = 24651209 / 1
LCM(4961,4969) = 24651209

Properties of LCM 4961 and 4969

(i) The LCM of 4969 and 4961 is associative

LCM of 4961 and 4969 = LCM of 4969 and 4961

Related Least Common Multiples of 4961

Related Least Common Multiples of 4969

Frequently Asked Questions on LCM of 4961 and 4969

1. What is the LCM of 4961 and 4969?

Answer: LCM of 4961 and 4969 is 24651209.

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 4969?

Answer: Factors of 4969 are 1, 4969. There are 2 integers that are factors of 4969. The greatest factor of 4969 is 4969.

4. How to Find the LCM of 4961 and 4969?

Answer:

Least Common Multiple of 4961 and 4969 = 24651209

Step 1: Find the prime factorization of 4961

4961 = 11 x 11 x 41

Step 2: Find the prime factorization of 4969

4969 = 4969

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

LCM = 24651209 = 11 x 11 x 41 x 4969

Step 4: Therefore, the least common multiple of 4961 and 4969 is 24651209.