Least Common Multiple of 454 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 454 and 458 the smallest integer that is 103966 that is divisible by both numbers.

Least Common Multiple (LCM) of 454 and 458 is 103966.

LCM(454,458) = 103966

LCM of 454 and 458

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

LCM of:
and

Least Common Multiple of 454 and 458

LCM of 454 and 458 is 103966

Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 458. First we will calculate the prime factors of 454 and 458.

Prime Factorization of 454


2 454
227 227
1

Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:

454 = 21×2271

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 454 and 458.

LCM(454,458) = 21×2271×2291
LCM(454,458) = 103966

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Factors of 458

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

1, 2, 229, 458

Least Common Multiple of 454 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 454 and 458, than apply into the LCM equation.

GCF(454,458) = 2
LCM(454,458) = ( 454 × 458) / 2
LCM(454,458) = 207932 / 2
LCM(454,458) = 103966

Properties of LCM 454 and 458

(i) The LCM of 458 and 454 is associative

LCM of 454 and 458 = LCM of 458 and 454

Related Least Common Multiples of 454

Related Least Common Multiples of 458

Frequently Asked Questions on LCM of 454 and 458

1. What is the LCM of 454 and 458?

Answer: LCM of 454 and 458 is 103966.

2. What are the Factors of 454?

Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.

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 454 and 458?

Answer:

Least Common Multiple of 454 and 458 = 103966

Step 1: Find the prime factorization of 454

454 = 2 x 227

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 = 103966 = 2 x 227 x 229

Step 4: Therefore, the least common multiple of 454 and 458 is 103966.