Least Common Multiple of 479 and 481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 479 and 481 the smallest integer that is 230399 that is divisible by both numbers.

Least Common Multiple (LCM) of 479 and 481 is 230399.

LCM(479,481) = 230399

LCM of 479 and 481

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

LCM of:
and

Least Common Multiple of 479 and 481

LCM of 479 and 481 is 230399

Least common multiple can be found by multiplying the highest exponent prime factors of 479 and 481. First we will calculate the prime factors of 479 and 481.

Prime Factorization of 479


479 479
1

Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:

479 = 4791

Prime Factorization of 481


13 481
37 37
1

Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:

481 = 131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 479 and 481.

LCM(479,481) = 131×371×4791
LCM(479,481) = 230399

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1, 479

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Least Common Multiple of 479 and 481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 479 and 481, than apply into the LCM equation.

GCF(479,481) = 1
LCM(479,481) = ( 479 × 481) / 1
LCM(479,481) = 230399 / 1
LCM(479,481) = 230399

Properties of LCM 479 and 481

(i) The LCM of 481 and 479 is associative

LCM of 479 and 481 = LCM of 481 and 479

Related Least Common Multiples of 479

Related Least Common Multiples of 481

Frequently Asked Questions on LCM of 479 and 481

1. What is the LCM of 479 and 481?

Answer: LCM of 479 and 481 is 230399.

2. What are the Factors of 479?

Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.

3. What are the Factors of 481?

Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.

4. How to Find the LCM of 479 and 481?

Answer:

Least Common Multiple of 479 and 481 = 230399

Step 1: Find the prime factorization of 479

479 = 479

Step 2: Find the prime factorization of 481

481 = 13 x 37

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

LCM = 230399 = 13 x 37 x 479

Step 4: Therefore, the least common multiple of 479 and 481 is 230399.