Least Common Multiple of 2971 and 2977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2971 and 2977 the smallest integer that is 8844667 that is divisible by both numbers.

Least Common Multiple (LCM) of 2971 and 2977 is 8844667.

LCM(2971,2977) = 8844667

LCM of 2971 and 2977

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

LCM of:
and

Least Common Multiple of 2971 and 2977

LCM of 2971 and 2977 is 8844667

Least common multiple can be found by multiplying the highest exponent prime factors of 2971 and 2977. First we will calculate the prime factors of 2971 and 2977.

Prime Factorization of 2971


2971 2971
1

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

2971 = 29711

Prime Factorization of 2977


13 2977
229 229
1

Prime factors of 2977 are 13,229. Prime factorization of 2977 in exponential form is:

2977 = 131×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 2971 and 2977.

LCM(2971,2977) = 131×2291×29711
LCM(2971,2977) = 8844667

Factors of 2971

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

1, 2971

Factors of 2977

List of positive integer factors of 2977 that divides 2977 without a remainder.

1, 13, 229, 2977

Least Common Multiple of 2971 and 2977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2971 and 2977, than apply into the LCM equation.

GCF(2971,2977) = 1
LCM(2971,2977) = ( 2971 × 2977) / 1
LCM(2971,2977) = 8844667 / 1
LCM(2971,2977) = 8844667

Properties of LCM 2971 and 2977

(i) The LCM of 2977 and 2971 is associative

LCM of 2971 and 2977 = LCM of 2977 and 2971

Related Least Common Multiples of 2971

Related Least Common Multiples of 2977

Frequently Asked Questions on LCM of 2971 and 2977

1. What is the LCM of 2971 and 2977?

Answer: LCM of 2971 and 2977 is 8844667.

2. 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.

3. What are the Factors of 2977?

Answer: Factors of 2977 are 1, 13, 229, 2977. There are 4 integers that are factors of 2977. The greatest factor of 2977 is 2977.

4. How to Find the LCM of 2971 and 2977?

Answer:

Least Common Multiple of 2971 and 2977 = 8844667

Step 1: Find the prime factorization of 2971

2971 = 2971

Step 2: Find the prime factorization of 2977

2977 = 13 x 229

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

LCM = 8844667 = 13 x 229 x 2971

Step 4: Therefore, the least common multiple of 2971 and 2977 is 8844667.