Least Common Multiple of 2471 and 2477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2471 and 2477 the smallest integer that is 6120667 that is divisible by both numbers.

Least Common Multiple (LCM) of 2471 and 2477 is 6120667.

LCM(2471,2477) = 6120667

LCM of 2471 and 2477

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

LCM of:
and

Least Common Multiple of 2471 and 2477

LCM of 2471 and 2477 is 6120667

Least common multiple can be found by multiplying the highest exponent prime factors of 2471 and 2477. First we will calculate the prime factors of 2471 and 2477.

Prime Factorization of 2471


7 2471
353 353
1

Prime factors of 2471 are 7,353. Prime factorization of 2471 in exponential form is:

2471 = 71×3531

Prime Factorization of 2477


2477 2477
1

Prime factors of 2477 are 2477. Prime factorization of 2477 in exponential form is:

2477 = 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 2471 and 2477.

LCM(2471,2477) = 71×3531×24771
LCM(2471,2477) = 6120667

Factors of 2471

List of positive integer factors of 2471 that divides 2471 without a remainder.

1, 7, 353, 2471

Factors of 2477

List of positive integer factors of 2477 that divides 2477 without a remainder.

1, 2477

Least Common Multiple of 2471 and 2477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2471 and 2477, than apply into the LCM equation.

GCF(2471,2477) = 1
LCM(2471,2477) = ( 2471 × 2477) / 1
LCM(2471,2477) = 6120667 / 1
LCM(2471,2477) = 6120667

Properties of LCM 2471 and 2477

(i) The LCM of 2477 and 2471 is associative

LCM of 2471 and 2477 = LCM of 2477 and 2471

Frequently Asked Questions on LCM of 2471 and 2477

1. What is the LCM of 2471 and 2477?

Answer: LCM of 2471 and 2477 is 6120667.

2. What are the Factors of 2471?

Answer: Factors of 2471 are 1, 7, 353, 2471. There are 4 integers that are factors of 2471. The greatest factor of 2471 is 2471.

3. What are the Factors of 2477?

Answer: Factors of 2477 are 1, 2477. There are 2 integers that are factors of 2477. The greatest factor of 2477 is 2477.

4. How to Find the LCM of 2471 and 2477?

Answer:

Least Common Multiple of 2471 and 2477 = 6120667

Step 1: Find the prime factorization of 2471

2471 = 7 x 353

Step 2: Find the prime factorization of 2477

2477 = 2477

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

LCM = 6120667 = 7 x 353 x 2477

Step 4: Therefore, the least common multiple of 2471 and 2477 is 6120667.