Least Common Multiple of 2960 and 2965

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 2965 the smallest integer that is 1755280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2960 and 2965 is 1755280.

LCM(2960,2965) = 1755280

LCM of 2960 and 2965

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

LCM of:
and

Least Common Multiple of 2960 and 2965

LCM of 2960 and 2965 is 1755280

Least common multiple can be found by multiplying the highest exponent prime factors of 2960 and 2965. First we will calculate the prime factors of 2960 and 2965.

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 2965


5 2965
593 593
1

Prime factors of 2965 are 5,593. Prime factorization of 2965 in exponential form is:

2965 = 51×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 2960 and 2965.

LCM(2960,2965) = 24×51×371×5931
LCM(2960,2965) = 1755280

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 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1, 5, 593, 2965

Least Common Multiple of 2960 and 2965 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 2965, than apply into the LCM equation.

GCF(2960,2965) = 5
LCM(2960,2965) = ( 2960 × 2965) / 5
LCM(2960,2965) = 8776400 / 5
LCM(2960,2965) = 1755280

Properties of LCM 2960 and 2965

(i) The LCM of 2965 and 2960 is associative

LCM of 2960 and 2965 = LCM of 2965 and 2960

Related Least Common Multiples of 2960

Related Least Common Multiples of 2965

Frequently Asked Questions on LCM of 2960 and 2965

1. What is the LCM of 2960 and 2965?

Answer: LCM of 2960 and 2965 is 1755280.

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 2965?

Answer: Factors of 2965 are 1, 5, 593, 2965. There are 4 integers that are factors of 2965. The greatest factor of 2965 is 2965.

4. How to Find the LCM of 2960 and 2965?

Answer:

Least Common Multiple of 2960 and 2965 = 1755280

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 2965

2965 = 5 x 593

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

LCM = 1755280 = 2 x 2 x 2 x 2 x 5 x 37 x 593

Step 4: Therefore, the least common multiple of 2960 and 2965 is 1755280.