Least Common Multiple of 479 and 484

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 484 the smallest integer that is 231836 that is divisible by both numbers.

Least Common Multiple (LCM) of 479 and 484 is 231836.

LCM(479,484) = 231836

LCM of 479 and 484

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

LCM of:
and

Least Common Multiple of 479 and 484

LCM of 479 and 484 is 231836

Least common multiple can be found by multiplying the highest exponent prime factors of 479 and 484. First we will calculate the prime factors of 479 and 484.

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 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

Now multiplying the highest exponent prime factors to calculate the LCM of 479 and 484.

LCM(479,484) = 22×112×4791
LCM(479,484) = 231836

Factors of 479

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

1, 479

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Least Common Multiple of 479 and 484 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 484, than apply into the LCM equation.

GCF(479,484) = 1
LCM(479,484) = ( 479 × 484) / 1
LCM(479,484) = 231836 / 1
LCM(479,484) = 231836

Properties of LCM 479 and 484

(i) The LCM of 484 and 479 is associative

LCM of 479 and 484 = LCM of 484 and 479

Related Least Common Multiples of 479

Related Least Common Multiples of 484

Frequently Asked Questions on LCM of 479 and 484

1. What is the LCM of 479 and 484?

Answer: LCM of 479 and 484 is 231836.

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 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

4. How to Find the LCM of 479 and 484?

Answer:

Least Common Multiple of 479 and 484 = 231836

Step 1: Find the prime factorization of 479

479 = 479

Step 2: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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

LCM = 231836 = 2 x 2 x 11 x 11 x 479

Step 4: Therefore, the least common multiple of 479 and 484 is 231836.