Least Common Multiple of 2479 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 2479 and 2481 the smallest integer that is 6150399 that is divisible by both numbers.

Least Common Multiple (LCM) of 2479 and 2481 is 6150399.

LCM(2479,2481) = 6150399

LCM of 2479 and 2481

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

LCM of:
and

Least Common Multiple of 2479 and 2481

LCM of 2479 and 2481 is 6150399

Least common multiple can be found by multiplying the highest exponent prime factors of 2479 and 2481. First we will calculate the prime factors of 2479 and 2481.

Prime Factorization of 2479


37 2479
67 67
1

Prime factors of 2479 are 37,67. Prime factorization of 2479 in exponential form is:

2479 = 371×671

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 2479 and 2481.

LCM(2479,2481) = 31×371×671×8271
LCM(2479,2481) = 6150399

Factors of 2479

List of positive integer factors of 2479 that divides 2479 without a remainder.

1, 37, 67, 2479

Factors of 2481

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

1, 3, 827, 2481

Least Common Multiple of 2479 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 2479 and 2481, than apply into the LCM equation.

GCF(2479,2481) = 1
LCM(2479,2481) = ( 2479 × 2481) / 1
LCM(2479,2481) = 6150399 / 1
LCM(2479,2481) = 6150399

Properties of LCM 2479 and 2481

(i) The LCM of 2481 and 2479 is associative

LCM of 2479 and 2481 = LCM of 2481 and 2479

Related Least Common Multiples of 2479

Related Least Common Multiples of 2481

Frequently Asked Questions on LCM of 2479 and 2481

1. What is the LCM of 2479 and 2481?

Answer: LCM of 2479 and 2481 is 6150399.

2. What are the Factors of 2479?

Answer: Factors of 2479 are 1, 37, 67, 2479. There are 4 integers that are factors of 2479. The greatest factor of 2479 is 2479.

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 2479 and 2481?

Answer:

Least Common Multiple of 2479 and 2481 = 6150399

Step 1: Find the prime factorization of 2479

2479 = 37 x 67

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 = 6150399 = 3 x 37 x 67 x 827

Step 4: Therefore, the least common multiple of 2479 and 2481 is 6150399.