Least Common Multiple of 2958 and 2962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2958 and 2962 the smallest integer that is 4380798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2958 and 2962 is 4380798.

LCM(2958,2962) = 4380798

LCM of 2958 and 2962

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

LCM of:
and

Least Common Multiple of 2958 and 2962

LCM of 2958 and 2962 is 4380798

Least common multiple can be found by multiplying the highest exponent prime factors of 2958 and 2962. First we will calculate the prime factors of 2958 and 2962.

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

Prime Factorization of 2962


2 2962
1481 1481
1

Prime factors of 2962 are 2,1481. Prime factorization of 2962 in exponential form is:

2962 = 21×14811

Now multiplying the highest exponent prime factors to calculate the LCM of 2958 and 2962.

LCM(2958,2962) = 21×31×171×291×14811
LCM(2958,2962) = 4380798

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

Factors of 2962

List of positive integer factors of 2962 that divides 2962 without a remainder.

1, 2, 1481, 2962

Least Common Multiple of 2958 and 2962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2958 and 2962, than apply into the LCM equation.

GCF(2958,2962) = 2
LCM(2958,2962) = ( 2958 × 2962) / 2
LCM(2958,2962) = 8761596 / 2
LCM(2958,2962) = 4380798

Properties of LCM 2958 and 2962

(i) The LCM of 2962 and 2958 is associative

LCM of 2958 and 2962 = LCM of 2962 and 2958

Related Least Common Multiples of 2958

Related Least Common Multiples of 2962

Frequently Asked Questions on LCM of 2958 and 2962

1. What is the LCM of 2958 and 2962?

Answer: LCM of 2958 and 2962 is 4380798.

2. 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.

3. What are the Factors of 2962?

Answer: Factors of 2962 are 1, 2, 1481, 2962. There are 4 integers that are factors of 2962. The greatest factor of 2962 is 2962.

4. How to Find the LCM of 2958 and 2962?

Answer:

Least Common Multiple of 2958 and 2962 = 4380798

Step 1: Find the prime factorization of 2958

2958 = 2 x 3 x 17 x 29

Step 2: Find the prime factorization of 2962

2962 = 2 x 1481

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

LCM = 4380798 = 2 x 3 x 17 x 29 x 1481

Step 4: Therefore, the least common multiple of 2958 and 2962 is 4380798.