Least Common Multiple of 2953 and 2957

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 2957 the smallest integer that is 8732021 that is divisible by both numbers.

Least Common Multiple (LCM) of 2953 and 2957 is 8732021.

LCM(2953,2957) = 8732021

LCM of 2953 and 2957

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

LCM of:
and

Least Common Multiple of 2953 and 2957

LCM of 2953 and 2957 is 8732021

Least common multiple can be found by multiplying the highest exponent prime factors of 2953 and 2957. First we will calculate the prime factors of 2953 and 2957.

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 2957


2957 2957
1

Prime factors of 2957 are 2957. Prime factorization of 2957 in exponential form is:

2957 = 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 2953 and 2957.

LCM(2953,2957) = 29531×29571
LCM(2953,2957) = 8732021

Factors of 2953

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

1, 2953

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1, 2957

Least Common Multiple of 2953 and 2957 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 2957, than apply into the LCM equation.

GCF(2953,2957) = 1
LCM(2953,2957) = ( 2953 × 2957) / 1
LCM(2953,2957) = 8732021 / 1
LCM(2953,2957) = 8732021

Properties of LCM 2953 and 2957

(i) The LCM of 2957 and 2953 is associative

LCM of 2953 and 2957 = LCM of 2957 and 2953

Related Least Common Multiples of 2953

Related Least Common Multiples of 2957

Frequently Asked Questions on LCM of 2953 and 2957

1. What is the LCM of 2953 and 2957?

Answer: LCM of 2953 and 2957 is 8732021.

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 2957?

Answer: Factors of 2957 are 1, 2957. There are 2 integers that are factors of 2957. The greatest factor of 2957 is 2957.

4. How to Find the LCM of 2953 and 2957?

Answer:

Least Common Multiple of 2953 and 2957 = 8732021

Step 1: Find the prime factorization of 2953

2953 = 2953

Step 2: Find the prime factorization of 2957

2957 = 2957

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

LCM = 8732021 = 2953 x 2957

Step 4: Therefore, the least common multiple of 2953 and 2957 is 8732021.