Least Common Multiple of 2960 and 2968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2960 and 2968 the smallest integer that is 1098160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2960 and 2968 is 1098160.

LCM(2960,2968) = 1098160

LCM of 2960 and 2968

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

LCM of:
and

Least Common Multiple of 2960 and 2968

LCM of 2960 and 2968 is 1098160

Least common multiple can be found by multiplying the highest exponent prime factors of 2960 and 2968. First we will calculate the prime factors of 2960 and 2968.

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

Prime Factorization of 2968


2 2968
2 1484
2 742
7 371
53 53
1

Prime factors of 2968 are 2, 7,53. Prime factorization of 2968 in exponential form is:

2968 = 23×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2960 and 2968.

LCM(2960,2968) = 24×51×71×371×531
LCM(2960,2968) = 1098160

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

Factors of 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968

Least Common Multiple of 2960 and 2968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2960 and 2968, than apply into the LCM equation.

GCF(2960,2968) = 8
LCM(2960,2968) = ( 2960 × 2968) / 8
LCM(2960,2968) = 8785280 / 8
LCM(2960,2968) = 1098160

Properties of LCM 2960 and 2968

(i) The LCM of 2968 and 2960 is associative

LCM of 2960 and 2968 = LCM of 2968 and 2960

Related Least Common Multiples of 2960

Related Least Common Multiples of 2968

Frequently Asked Questions on LCM of 2960 and 2968

1. What is the LCM of 2960 and 2968?

Answer: LCM of 2960 and 2968 is 1098160.

2. 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.

3. What are the Factors of 2968?

Answer: Factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968. There are 16 integers that are factors of 2968. The greatest factor of 2968 is 2968.

4. How to Find the LCM of 2960 and 2968?

Answer:

Least Common Multiple of 2960 and 2968 = 1098160

Step 1: Find the prime factorization of 2960

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

Step 2: Find the prime factorization of 2968

2968 = 2 x 2 x 2 x 7 x 53

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

LCM = 1098160 = 2 x 2 x 2 x 2 x 5 x 7 x 37 x 53

Step 4: Therefore, the least common multiple of 2960 and 2968 is 1098160.