Least Common Multiple of 2956 and 2960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2956 and 2960 the smallest integer that is 2187440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2956 and 2960 is 2187440.

LCM(2956,2960) = 2187440

LCM of 2956 and 2960

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

LCM of:
and

Least Common Multiple of 2956 and 2960

LCM of 2956 and 2960 is 2187440

Least common multiple can be found by multiplying the highest exponent prime factors of 2956 and 2960. First we will calculate the prime factors of 2956 and 2960.

Prime Factorization of 2956


2 2956
2 1478
739 739
1

Prime factors of 2956 are 2,739. Prime factorization of 2956 in exponential form is:

2956 = 22×7391

Prime Factorization of 2960


2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 2960 are 2, 5,37. Prime factorization of 2960 in exponential form is:

2960 = 24×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2956 and 2960.

LCM(2956,2960) = 24×51×371×7391
LCM(2956,2960) = 2187440

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1, 2, 4, 739, 1478, 2956

Factors of 2960

List of positive integer factors of 2960 that divides 2960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960

Least Common Multiple of 2956 and 2960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2956 and 2960, than apply into the LCM equation.

GCF(2956,2960) = 4
LCM(2956,2960) = ( 2956 × 2960) / 4
LCM(2956,2960) = 8749760 / 4
LCM(2956,2960) = 2187440

Properties of LCM 2956 and 2960

(i) The LCM of 2960 and 2956 is associative

LCM of 2956 and 2960 = LCM of 2960 and 2956

Related Least Common Multiples of 2956

Related Least Common Multiples of 2960

Frequently Asked Questions on LCM of 2956 and 2960

1. What is the LCM of 2956 and 2960?

Answer: LCM of 2956 and 2960 is 2187440.

2. What are the Factors of 2956?

Answer: Factors of 2956 are 1, 2, 4, 739, 1478, 2956. There are 6 integers that are factors of 2956. The greatest factor of 2956 is 2956.

3. What are the Factors of 2960?

Answer: Factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960. There are 20 integers that are factors of 2960. The greatest factor of 2960 is 2960.

4. How to Find the LCM of 2956 and 2960?

Answer:

Least Common Multiple of 2956 and 2960 = 2187440

Step 1: Find the prime factorization of 2956

2956 = 2 x 2 x 739

Step 2: Find the prime factorization of 2960

2960 = 2 x 2 x 2 x 2 x 5 x 37

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

LCM = 2187440 = 2 x 2 x 2 x 2 x 5 x 37 x 739

Step 4: Therefore, the least common multiple of 2956 and 2960 is 2187440.