Least Common Multiple of 4961 and 4967

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 4967 the smallest integer that is 24641287 that is divisible by both numbers.

Least Common Multiple (LCM) of 4961 and 4967 is 24641287.

LCM(4961,4967) = 24641287

LCM of 4961 and 4967

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

LCM of:
and

Least Common Multiple of 4961 and 4967

LCM of 4961 and 4967 is 24641287

Least common multiple can be found by multiplying the highest exponent prime factors of 4961 and 4967. First we will calculate the prime factors of 4961 and 4967.

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 4967


4967 4967
1

Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:

4967 = 49671

Now multiplying the highest exponent prime factors to calculate the LCM of 4961 and 4967.

LCM(4961,4967) = 112×411×49671
LCM(4961,4967) = 24641287

Factors of 4961

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

1, 11, 41, 121, 451, 4961

Factors of 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1, 4967

Least Common Multiple of 4961 and 4967 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 4967, than apply into the LCM equation.

GCF(4961,4967) = 1
LCM(4961,4967) = ( 4961 × 4967) / 1
LCM(4961,4967) = 24641287 / 1
LCM(4961,4967) = 24641287

Properties of LCM 4961 and 4967

(i) The LCM of 4967 and 4961 is associative

LCM of 4961 and 4967 = LCM of 4967 and 4961

Related Least Common Multiples of 4961

Related Least Common Multiples of 4967

Frequently Asked Questions on LCM of 4961 and 4967

1. What is the LCM of 4961 and 4967?

Answer: LCM of 4961 and 4967 is 24641287.

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 4967?

Answer: Factors of 4967 are 1, 4967. There are 2 integers that are factors of 4967. The greatest factor of 4967 is 4967.

4. How to Find the LCM of 4961 and 4967?

Answer:

Least Common Multiple of 4961 and 4967 = 24641287

Step 1: Find the prime factorization of 4961

4961 = 11 x 11 x 41

Step 2: Find the prime factorization of 4967

4967 = 4967

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

LCM = 24641287 = 11 x 11 x 41 x 4967

Step 4: Therefore, the least common multiple of 4961 and 4967 is 24641287.