Least Common Multiple of 2953 and 2958

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 2958 the smallest integer that is 8734974 that is divisible by both numbers.

Least Common Multiple (LCM) of 2953 and 2958 is 8734974.

LCM(2953,2958) = 8734974

LCM of 2953 and 2958

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

LCM of:
and

Least Common Multiple of 2953 and 2958

LCM of 2953 and 2958 is 8734974

Least common multiple can be found by multiplying the highest exponent prime factors of 2953 and 2958. First we will calculate the prime factors of 2953 and 2958.

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 2958


2 2958
3 1479
17 493
29 29
1

Prime factors of 2958 are 2, 3, 17,29. Prime factorization of 2958 in exponential form is:

2958 = 21×31×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2953 and 2958.

LCM(2953,2958) = 21×31×171×291×29531
LCM(2953,2958) = 8734974

Factors of 2953

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

1, 2953

Factors of 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958

Least Common Multiple of 2953 and 2958 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 2958, than apply into the LCM equation.

GCF(2953,2958) = 1
LCM(2953,2958) = ( 2953 × 2958) / 1
LCM(2953,2958) = 8734974 / 1
LCM(2953,2958) = 8734974

Properties of LCM 2953 and 2958

(i) The LCM of 2958 and 2953 is associative

LCM of 2953 and 2958 = LCM of 2958 and 2953

Related Least Common Multiples of 2953

Related Least Common Multiples of 2958

Frequently Asked Questions on LCM of 2953 and 2958

1. What is the LCM of 2953 and 2958?

Answer: LCM of 2953 and 2958 is 8734974.

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 2958?

Answer: Factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958. There are 16 integers that are factors of 2958. The greatest factor of 2958 is 2958.

4. How to Find the LCM of 2953 and 2958?

Answer:

Least Common Multiple of 2953 and 2958 = 8734974

Step 1: Find the prime factorization of 2953

2953 = 2953

Step 2: Find the prime factorization of 2958

2958 = 2 x 3 x 17 x 29

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

LCM = 8734974 = 2 x 3 x 17 x 29 x 2953

Step 4: Therefore, the least common multiple of 2953 and 2958 is 8734974.