Least Common Multiple of 459 and 463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 459 and 463 the smallest integer that is 212517 that is divisible by both numbers.

Least Common Multiple (LCM) of 459 and 463 is 212517.

LCM(459,463) = 212517

LCM of 459 and 463

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

LCM of:
and

Least Common Multiple of 459 and 463

LCM of 459 and 463 is 212517

Least common multiple can be found by multiplying the highest exponent prime factors of 459 and 463. First we will calculate the prime factors of 459 and 463.

Prime Factorization of 459


3 459
3 153
3 51
17 17
1

Prime factors of 459 are 3,17. Prime factorization of 459 in exponential form is:

459 = 33×171

Prime Factorization of 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 459 and 463.

LCM(459,463) = 33×171×4631
LCM(459,463) = 212517

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1, 463

Least Common Multiple of 459 and 463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 459 and 463, than apply into the LCM equation.

GCF(459,463) = 1
LCM(459,463) = ( 459 × 463) / 1
LCM(459,463) = 212517 / 1
LCM(459,463) = 212517

Properties of LCM 459 and 463

(i) The LCM of 463 and 459 is associative

LCM of 459 and 463 = LCM of 463 and 459

Related Least Common Multiples of 459

Related Least Common Multiples of 463

Frequently Asked Questions on LCM of 459 and 463

1. What is the LCM of 459 and 463?

Answer: LCM of 459 and 463 is 212517.

2. What are the Factors of 459?

Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.

3. What are the Factors of 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

4. How to Find the LCM of 459 and 463?

Answer:

Least Common Multiple of 459 and 463 = 212517

Step 1: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 463

463 = 463

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

LCM = 212517 = 3 x 3 x 3 x 17 x 463

Step 4: Therefore, the least common multiple of 459 and 463 is 212517.