Least Common Multiple of 2952 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 2952 and 2958 the smallest integer that is 1455336 that is divisible by both numbers.

Least Common Multiple (LCM) of 2952 and 2958 is 1455336.

LCM(2952,2958) = 1455336

LCM of 2952 and 2958

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

LCM of:
and

Least Common Multiple of 2952 and 2958

LCM of 2952 and 2958 is 1455336

Least common multiple can be found by multiplying the highest exponent prime factors of 2952 and 2958. First we will calculate the prime factors of 2952 and 2958.

Prime Factorization of 2952


2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 2952 are 2, 3,41. Prime factorization of 2952 in exponential form is:

2952 = 23×32×411

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 2952 and 2958.

LCM(2952,2958) = 23×32×171×291×411
LCM(2952,2958) = 1455336

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952

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 2952 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 2952 and 2958, than apply into the LCM equation.

GCF(2952,2958) = 6
LCM(2952,2958) = ( 2952 × 2958) / 6
LCM(2952,2958) = 8732016 / 6
LCM(2952,2958) = 1455336

Properties of LCM 2952 and 2958

(i) The LCM of 2958 and 2952 is associative

LCM of 2952 and 2958 = LCM of 2958 and 2952

Related Least Common Multiples of 2952

Related Least Common Multiples of 2958

Frequently Asked Questions on LCM of 2952 and 2958

1. What is the LCM of 2952 and 2958?

Answer: LCM of 2952 and 2958 is 1455336.

2. What are the Factors of 2952?

Answer: Factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952. There are 24 integers that are factors of 2952. The greatest factor of 2952 is 2952.

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 2952 and 2958?

Answer:

Least Common Multiple of 2952 and 2958 = 1455336

Step 1: Find the prime factorization of 2952

2952 = 2 x 2 x 2 x 3 x 3 x 41

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 = 1455336 = 2 x 2 x 2 x 3 x 3 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 2952 and 2958 is 1455336.