Least Common Multiple of 2965 and 2971

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 2971 the smallest integer that is 8809015 that is divisible by both numbers.

Least Common Multiple (LCM) of 2965 and 2971 is 8809015.

LCM(2965,2971) = 8809015

LCM of 2965 and 2971

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

LCM of:
and

Least Common Multiple of 2965 and 2971

LCM of 2965 and 2971 is 8809015

Least common multiple can be found by multiplying the highest exponent prime factors of 2965 and 2971. First we will calculate the prime factors of 2965 and 2971.

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 2971


2971 2971
1

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 2965 and 2971.

LCM(2965,2971) = 51×5931×29711
LCM(2965,2971) = 8809015

Factors of 2965

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

1, 5, 593, 2965

Factors of 2971

List of positive integer factors of 2971 that divides 2971 without a remainder.

1, 2971

Least Common Multiple of 2965 and 2971 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 2971, than apply into the LCM equation.

GCF(2965,2971) = 1
LCM(2965,2971) = ( 2965 × 2971) / 1
LCM(2965,2971) = 8809015 / 1
LCM(2965,2971) = 8809015

Properties of LCM 2965 and 2971

(i) The LCM of 2971 and 2965 is associative

LCM of 2965 and 2971 = LCM of 2971 and 2965

Related Least Common Multiples of 2965

Related Least Common Multiples of 2971

Frequently Asked Questions on LCM of 2965 and 2971

1. What is the LCM of 2965 and 2971?

Answer: LCM of 2965 and 2971 is 8809015.

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 2971?

Answer: Factors of 2971 are 1, 2971. There are 2 integers that are factors of 2971. The greatest factor of 2971 is 2971.

4. How to Find the LCM of 2965 and 2971?

Answer:

Least Common Multiple of 2965 and 2971 = 8809015

Step 1: Find the prime factorization of 2965

2965 = 5 x 593

Step 2: Find the prime factorization of 2971

2971 = 2971

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

LCM = 8809015 = 5 x 593 x 2971

Step 4: Therefore, the least common multiple of 2965 and 2971 is 8809015.