Least Common Multiple of 2963 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 2963 and 2971 the smallest integer that is 8803073 that is divisible by both numbers.

Least Common Multiple (LCM) of 2963 and 2971 is 8803073.

LCM(2963,2971) = 8803073

LCM of 2963 and 2971

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

LCM of:
and

Least Common Multiple of 2963 and 2971

LCM of 2963 and 2971 is 8803073

Least common multiple can be found by multiplying the highest exponent prime factors of 2963 and 2971. First we will calculate the prime factors of 2963 and 2971.

Prime Factorization of 2963


2963 2963
1

Prime factors of 2963 are 2963. Prime factorization of 2963 in exponential form is:

2963 = 29631

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 2963 and 2971.

LCM(2963,2971) = 29631×29711
LCM(2963,2971) = 8803073

Factors of 2963

List of positive integer factors of 2963 that divides 2963 without a remainder.

1, 2963

Factors of 2971

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

1, 2971

Least Common Multiple of 2963 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 2963 and 2971, than apply into the LCM equation.

GCF(2963,2971) = 1
LCM(2963,2971) = ( 2963 × 2971) / 1
LCM(2963,2971) = 8803073 / 1
LCM(2963,2971) = 8803073

Properties of LCM 2963 and 2971

(i) The LCM of 2971 and 2963 is associative

LCM of 2963 and 2971 = LCM of 2971 and 2963

Related Least Common Multiples of 2963

Related Least Common Multiples of 2971

Frequently Asked Questions on LCM of 2963 and 2971

1. What is the LCM of 2963 and 2971?

Answer: LCM of 2963 and 2971 is 8803073.

2. What are the Factors of 2963?

Answer: Factors of 2963 are 1, 2963. There are 2 integers that are factors of 2963. The greatest factor of 2963 is 2963.

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 2963 and 2971?

Answer:

Least Common Multiple of 2963 and 2971 = 8803073

Step 1: Find the prime factorization of 2963

2963 = 2963

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 = 8803073 = 2963 x 2971

Step 4: Therefore, the least common multiple of 2963 and 2971 is 8803073.