Least Common Multiple of 479 and 482

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 482 the smallest integer that is 230878 that is divisible by both numbers.

Least Common Multiple (LCM) of 479 and 482 is 230878.

LCM(479,482) = 230878

LCM of 479 and 482

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

LCM of:
and

Least Common Multiple of 479 and 482

LCM of 479 and 482 is 230878

Least common multiple can be found by multiplying the highest exponent prime factors of 479 and 482. First we will calculate the prime factors of 479 and 482.

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 482


2 482
241 241
1

Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:

482 = 21×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 479 and 482.

LCM(479,482) = 21×2411×4791
LCM(479,482) = 230878

Factors of 479

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

1, 479

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Least Common Multiple of 479 and 482 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 482, than apply into the LCM equation.

GCF(479,482) = 1
LCM(479,482) = ( 479 × 482) / 1
LCM(479,482) = 230878 / 1
LCM(479,482) = 230878

Properties of LCM 479 and 482

(i) The LCM of 482 and 479 is associative

LCM of 479 and 482 = LCM of 482 and 479

Related Least Common Multiples of 479

Related Least Common Multiples of 482

Frequently Asked Questions on LCM of 479 and 482

1. What is the LCM of 479 and 482?

Answer: LCM of 479 and 482 is 230878.

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 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

4. How to Find the LCM of 479 and 482?

Answer:

Least Common Multiple of 479 and 482 = 230878

Step 1: Find the prime factorization of 479

479 = 479

Step 2: Find the prime factorization of 482

482 = 2 x 241

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

LCM = 230878 = 2 x 241 x 479

Step 4: Therefore, the least common multiple of 479 and 482 is 230878.