Least Common Multiple of 2474 and 2481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2474 and 2481 the smallest integer that is 6137994 that is divisible by both numbers.

Least Common Multiple (LCM) of 2474 and 2481 is 6137994.

LCM(2474,2481) = 6137994

LCM of 2474 and 2481

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

LCM of:
and

Least Common Multiple of 2474 and 2481

LCM of 2474 and 2481 is 6137994

Least common multiple can be found by multiplying the highest exponent prime factors of 2474 and 2481. First we will calculate the prime factors of 2474 and 2481.

Prime Factorization of 2474


2 2474
1237 1237
1

Prime factors of 2474 are 2,1237. Prime factorization of 2474 in exponential form is:

2474 = 21×12371

Prime Factorization of 2481


3 2481
827 827
1

Prime factors of 2481 are 3,827. Prime factorization of 2481 in exponential form is:

2481 = 31×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 2474 and 2481.

LCM(2474,2481) = 21×31×8271×12371
LCM(2474,2481) = 6137994

Factors of 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1, 2, 1237, 2474

Factors of 2481

List of positive integer factors of 2481 that divides 2481 without a remainder.

1, 3, 827, 2481

Least Common Multiple of 2474 and 2481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2474 and 2481, than apply into the LCM equation.

GCF(2474,2481) = 1
LCM(2474,2481) = ( 2474 × 2481) / 1
LCM(2474,2481) = 6137994 / 1
LCM(2474,2481) = 6137994

Properties of LCM 2474 and 2481

(i) The LCM of 2481 and 2474 is associative

LCM of 2474 and 2481 = LCM of 2481 and 2474

Related Least Common Multiples of 2474

Related Least Common Multiples of 2481

Frequently Asked Questions on LCM of 2474 and 2481

1. What is the LCM of 2474 and 2481?

Answer: LCM of 2474 and 2481 is 6137994.

2. What are the Factors of 2474?

Answer: Factors of 2474 are 1, 2, 1237, 2474. There are 4 integers that are factors of 2474. The greatest factor of 2474 is 2474.

3. What are the Factors of 2481?

Answer: Factors of 2481 are 1, 3, 827, 2481. There are 4 integers that are factors of 2481. The greatest factor of 2481 is 2481.

4. How to Find the LCM of 2474 and 2481?

Answer:

Least Common Multiple of 2474 and 2481 = 6137994

Step 1: Find the prime factorization of 2474

2474 = 2 x 1237

Step 2: Find the prime factorization of 2481

2481 = 3 x 827

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

LCM = 6137994 = 2 x 3 x 827 x 1237

Step 4: Therefore, the least common multiple of 2474 and 2481 is 6137994.