Least Common Multiple of 457 and 458

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 458 the smallest integer that is 209306 that is divisible by both numbers.

Least Common Multiple (LCM) of 457 and 458 is 209306.

LCM(457,458) = 209306

LCM of 457 and 458

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

LCM of:
and

Least Common Multiple of 457 and 458

LCM of 457 and 458 is 209306

Least common multiple can be found by multiplying the highest exponent prime factors of 457 and 458. First we will calculate the prime factors of 457 and 458.

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 458


2 458
229 229
1

Prime factors of 458 are 2,229. Prime factorization of 458 in exponential form is:

458 = 21×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 457 and 458.

LCM(457,458) = 21×2291×4571
LCM(457,458) = 209306

Factors of 457

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

1, 457

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Least Common Multiple of 457 and 458 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 458, than apply into the LCM equation.

GCF(457,458) = 1
LCM(457,458) = ( 457 × 458) / 1
LCM(457,458) = 209306 / 1
LCM(457,458) = 209306

Properties of LCM 457 and 458

(i) The LCM of 458 and 457 is associative

LCM of 457 and 458 = LCM of 458 and 457

Related Least Common Multiples of 457

Related Least Common Multiples of 458

Frequently Asked Questions on LCM of 457 and 458

1. What is the LCM of 457 and 458?

Answer: LCM of 457 and 458 is 209306.

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 458?

Answer: Factors of 458 are 1, 2, 229, 458. There are 4 integers that are factors of 458. The greatest factor of 458 is 458.

4. How to Find the LCM of 457 and 458?

Answer:

Least Common Multiple of 457 and 458 = 209306

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 458

458 = 2 x 229

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

LCM = 209306 = 2 x 229 x 457

Step 4: Therefore, the least common multiple of 457 and 458 is 209306.