Least Common Multiple of 2957 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 2957 and 2965 the smallest integer that is 8767505 that is divisible by both numbers.

Least Common Multiple (LCM) of 2957 and 2965 is 8767505.

LCM(2957,2965) = 8767505

LCM of 2957 and 2965

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

LCM of:
and

Least Common Multiple of 2957 and 2965

LCM of 2957 and 2965 is 8767505

Least common multiple can be found by multiplying the highest exponent prime factors of 2957 and 2965. First we will calculate the prime factors of 2957 and 2965.

Prime Factorization of 2957


2957 2957
1

Prime factors of 2957 are 2957. Prime factorization of 2957 in exponential form is:

2957 = 29571

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 2957 and 2965.

LCM(2957,2965) = 51×5931×29571
LCM(2957,2965) = 8767505

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1, 2957

Factors of 2965

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

1, 5, 593, 2965

Least Common Multiple of 2957 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 2957 and 2965, than apply into the LCM equation.

GCF(2957,2965) = 1
LCM(2957,2965) = ( 2957 × 2965) / 1
LCM(2957,2965) = 8767505 / 1
LCM(2957,2965) = 8767505

Properties of LCM 2957 and 2965

(i) The LCM of 2965 and 2957 is associative

LCM of 2957 and 2965 = LCM of 2965 and 2957

Related Least Common Multiples of 2957

Related Least Common Multiples of 2965

Frequently Asked Questions on LCM of 2957 and 2965

1. What is the LCM of 2957 and 2965?

Answer: LCM of 2957 and 2965 is 8767505.

2. What are the Factors of 2957?

Answer: Factors of 2957 are 1, 2957. There are 2 integers that are factors of 2957. The greatest factor of 2957 is 2957.

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 2957 and 2965?

Answer:

Least Common Multiple of 2957 and 2965 = 8767505

Step 1: Find the prime factorization of 2957

2957 = 2957

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 = 8767505 = 5 x 593 x 2957

Step 4: Therefore, the least common multiple of 2957 and 2965 is 8767505.