Least Common Multiple of 457 and 459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 457 and 459 the smallest integer that is 209763 that is divisible by both numbers.

Least Common Multiple (LCM) of 457 and 459 is 209763.

LCM(457,459) = 209763

LCM of 457 and 459

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

LCM of:
and

Least Common Multiple of 457 and 459

LCM of 457 and 459 is 209763

Least common multiple can be found by multiplying the highest exponent prime factors of 457 and 459. First we will calculate the prime factors of 457 and 459.

Prime Factorization of 457


457 457
1

Prime factors of 457 are 457. Prime factorization of 457 in exponential form is:

457 = 4571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 457 and 459.

LCM(457,459) = 33×171×4571
LCM(457,459) = 209763

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1, 457

Factors of 459

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

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

Least Common Multiple of 457 and 459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 457 and 459, than apply into the LCM equation.

GCF(457,459) = 1
LCM(457,459) = ( 457 × 459) / 1
LCM(457,459) = 209763 / 1
LCM(457,459) = 209763

Properties of LCM 457 and 459

(i) The LCM of 459 and 457 is associative

LCM of 457 and 459 = LCM of 459 and 457

Related Least Common Multiples of 457

Related Least Common Multiples of 459

Frequently Asked Questions on LCM of 457 and 459

1. What is the LCM of 457 and 459?

Answer: LCM of 457 and 459 is 209763.

2. What are the Factors of 457?

Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.

3. 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.

4. How to Find the LCM of 457 and 459?

Answer:

Least Common Multiple of 457 and 459 = 209763

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

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

LCM = 209763 = 3 x 3 x 3 x 17 x 457

Step 4: Therefore, the least common multiple of 457 and 459 is 209763.