Least Common Multiple of 2965 and 2969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2965 and 2969 the smallest integer that is 8803085 that is divisible by both numbers.

Least Common Multiple (LCM) of 2965 and 2969 is 8803085.

LCM(2965,2969) = 8803085

LCM of 2965 and 2969

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

LCM of:
and

Least Common Multiple of 2965 and 2969

LCM of 2965 and 2969 is 8803085

Least common multiple can be found by multiplying the highest exponent prime factors of 2965 and 2969. First we will calculate the prime factors of 2965 and 2969.

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

Prime Factorization of 2969


2969 2969
1

Prime factors of 2969 are 2969. Prime factorization of 2969 in exponential form is:

2969 = 29691

Now multiplying the highest exponent prime factors to calculate the LCM of 2965 and 2969.

LCM(2965,2969) = 51×5931×29691
LCM(2965,2969) = 8803085

Factors of 2965

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

1, 5, 593, 2965

Factors of 2969

List of positive integer factors of 2969 that divides 2969 without a remainder.

1, 2969

Least Common Multiple of 2965 and 2969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2965 and 2969, than apply into the LCM equation.

GCF(2965,2969) = 1
LCM(2965,2969) = ( 2965 × 2969) / 1
LCM(2965,2969) = 8803085 / 1
LCM(2965,2969) = 8803085

Properties of LCM 2965 and 2969

(i) The LCM of 2969 and 2965 is associative

LCM of 2965 and 2969 = LCM of 2969 and 2965

Related Least Common Multiples of 2965

Related Least Common Multiples of 2969

Frequently Asked Questions on LCM of 2965 and 2969

1. What is the LCM of 2965 and 2969?

Answer: LCM of 2965 and 2969 is 8803085.

2. 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.

3. What are the Factors of 2969?

Answer: Factors of 2969 are 1, 2969. There are 2 integers that are factors of 2969. The greatest factor of 2969 is 2969.

4. How to Find the LCM of 2965 and 2969?

Answer:

Least Common Multiple of 2965 and 2969 = 8803085

Step 1: Find the prime factorization of 2965

2965 = 5 x 593

Step 2: Find the prime factorization of 2969

2969 = 2969

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

LCM = 8803085 = 5 x 593 x 2969

Step 4: Therefore, the least common multiple of 2965 and 2969 is 8803085.