Least Common Multiple of 479 and 486

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 486 the smallest integer that is 232794 that is divisible by both numbers.

Least Common Multiple (LCM) of 479 and 486 is 232794.

LCM(479,486) = 232794

LCM of 479 and 486

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

LCM of:
and

Least Common Multiple of 479 and 486

LCM of 479 and 486 is 232794

Least common multiple can be found by multiplying the highest exponent prime factors of 479 and 486. First we will calculate the prime factors of 479 and 486.

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 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

Now multiplying the highest exponent prime factors to calculate the LCM of 479 and 486.

LCM(479,486) = 21×35×4791
LCM(479,486) = 232794

Factors of 479

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

1, 479

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Least Common Multiple of 479 and 486 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 486, than apply into the LCM equation.

GCF(479,486) = 1
LCM(479,486) = ( 479 × 486) / 1
LCM(479,486) = 232794 / 1
LCM(479,486) = 232794

Properties of LCM 479 and 486

(i) The LCM of 486 and 479 is associative

LCM of 479 and 486 = LCM of 486 and 479

Related Least Common Multiples of 479

Related Least Common Multiples of 486

Frequently Asked Questions on LCM of 479 and 486

1. What is the LCM of 479 and 486?

Answer: LCM of 479 and 486 is 232794.

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 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

4. How to Find the LCM of 479 and 486?

Answer:

Least Common Multiple of 479 and 486 = 232794

Step 1: Find the prime factorization of 479

479 = 479

Step 2: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 232794 = 2 x 3 x 3 x 3 x 3 x 3 x 479

Step 4: Therefore, the least common multiple of 479 and 486 is 232794.