Least Common Multiple of 2953 and 2961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2953 and 2961 the smallest integer that is 8743833 that is divisible by both numbers.

Least Common Multiple (LCM) of 2953 and 2961 is 8743833.

LCM(2953,2961) = 8743833

LCM of 2953 and 2961

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

LCM of:
and

Least Common Multiple of 2953 and 2961

LCM of 2953 and 2961 is 8743833

Least common multiple can be found by multiplying the highest exponent prime factors of 2953 and 2961. First we will calculate the prime factors of 2953 and 2961.

Prime Factorization of 2953


2953 2953
1

Prime factors of 2953 are 2953. Prime factorization of 2953 in exponential form is:

2953 = 29531

Prime Factorization of 2961


3 2961
3 987
7 329
47 47
1

Prime factors of 2961 are 3, 7,47. Prime factorization of 2961 in exponential form is:

2961 = 32×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2953 and 2961.

LCM(2953,2961) = 32×71×471×29531
LCM(2953,2961) = 8743833

Factors of 2953

List of positive integer factors of 2953 that divides 2953 without a remainder.

1, 2953

Factors of 2961

List of positive integer factors of 2961 that divides 2961 without a remainder.

1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, 2961

Least Common Multiple of 2953 and 2961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2953 and 2961, than apply into the LCM equation.

GCF(2953,2961) = 1
LCM(2953,2961) = ( 2953 × 2961) / 1
LCM(2953,2961) = 8743833 / 1
LCM(2953,2961) = 8743833

Properties of LCM 2953 and 2961

(i) The LCM of 2961 and 2953 is associative

LCM of 2953 and 2961 = LCM of 2961 and 2953

Related Least Common Multiples of 2953

Related Least Common Multiples of 2961

Frequently Asked Questions on LCM of 2953 and 2961

1. What is the LCM of 2953 and 2961?

Answer: LCM of 2953 and 2961 is 8743833.

2. What are the Factors of 2953?

Answer: Factors of 2953 are 1, 2953. There are 2 integers that are factors of 2953. The greatest factor of 2953 is 2953.

3. What are the Factors of 2961?

Answer: Factors of 2961 are 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, 2961. There are 12 integers that are factors of 2961. The greatest factor of 2961 is 2961.

4. How to Find the LCM of 2953 and 2961?

Answer:

Least Common Multiple of 2953 and 2961 = 8743833

Step 1: Find the prime factorization of 2953

2953 = 2953

Step 2: Find the prime factorization of 2961

2961 = 3 x 3 x 7 x 47

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

LCM = 8743833 = 3 x 3 x 7 x 47 x 2953

Step 4: Therefore, the least common multiple of 2953 and 2961 is 8743833.