Least Common Multiple of 2960 and 2967

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 2967 the smallest integer that is 8782320 that is divisible by both numbers.

Least Common Multiple (LCM) of 2960 and 2967 is 8782320.

LCM(2960,2967) = 8782320

LCM of 2960 and 2967

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

LCM of:
and

Least Common Multiple of 2960 and 2967

LCM of 2960 and 2967 is 8782320

Least common multiple can be found by multiplying the highest exponent prime factors of 2960 and 2967. First we will calculate the prime factors of 2960 and 2967.

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 2967


3 2967
23 989
43 43
1

Prime factors of 2967 are 3, 23,43. Prime factorization of 2967 in exponential form is:

2967 = 31×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2960 and 2967.

LCM(2960,2967) = 24×31×51×231×371×431
LCM(2960,2967) = 8782320

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 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1, 3, 23, 43, 69, 129, 989, 2967

Least Common Multiple of 2960 and 2967 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 2967, than apply into the LCM equation.

GCF(2960,2967) = 1
LCM(2960,2967) = ( 2960 × 2967) / 1
LCM(2960,2967) = 8782320 / 1
LCM(2960,2967) = 8782320

Properties of LCM 2960 and 2967

(i) The LCM of 2967 and 2960 is associative

LCM of 2960 and 2967 = LCM of 2967 and 2960

Related Least Common Multiples of 2960

Related Least Common Multiples of 2967

Frequently Asked Questions on LCM of 2960 and 2967

1. What is the LCM of 2960 and 2967?

Answer: LCM of 2960 and 2967 is 8782320.

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 2967?

Answer: Factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967. There are 8 integers that are factors of 2967. The greatest factor of 2967 is 2967.

4. How to Find the LCM of 2960 and 2967?

Answer:

Least Common Multiple of 2960 and 2967 = 8782320

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 2967

2967 = 3 x 23 x 43

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

LCM = 8782320 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 37 x 43

Step 4: Therefore, the least common multiple of 2960 and 2967 is 8782320.