Least Common Multiple of 479 and 483

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 483 the smallest integer that is 231357 that is divisible by both numbers.

Least Common Multiple (LCM) of 479 and 483 is 231357.

LCM(479,483) = 231357

LCM of 479 and 483

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

LCM of:
and

Least Common Multiple of 479 and 483

LCM of 479 and 483 is 231357

Least common multiple can be found by multiplying the highest exponent prime factors of 479 and 483. First we will calculate the prime factors of 479 and 483.

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 483


3 483
7 161
23 23
1

Prime factors of 483 are 3, 7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 479 and 483.

LCM(479,483) = 31×71×231×4791
LCM(479,483) = 231357

Factors of 479

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

1, 479

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Least Common Multiple of 479 and 483 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 483, than apply into the LCM equation.

GCF(479,483) = 1
LCM(479,483) = ( 479 × 483) / 1
LCM(479,483) = 231357 / 1
LCM(479,483) = 231357

Properties of LCM 479 and 483

(i) The LCM of 483 and 479 is associative

LCM of 479 and 483 = LCM of 483 and 479

Related Least Common Multiples of 479

Related Least Common Multiples of 483

Frequently Asked Questions on LCM of 479 and 483

1. What is the LCM of 479 and 483?

Answer: LCM of 479 and 483 is 231357.

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 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

4. How to Find the LCM of 479 and 483?

Answer:

Least Common Multiple of 479 and 483 = 231357

Step 1: Find the prime factorization of 479

479 = 479

Step 2: Find the prime factorization of 483

483 = 3 x 7 x 23

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

LCM = 231357 = 3 x 7 x 23 x 479

Step 4: Therefore, the least common multiple of 479 and 483 is 231357.