Least Common Multiple of 458 and 464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 458 and 464 the smallest integer that is 106256 that is divisible by both numbers.

Least Common Multiple (LCM) of 458 and 464 is 106256.

LCM(458,464) = 106256

LCM of 458 and 464

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

LCM of:
and

Least Common Multiple of 458 and 464

LCM of 458 and 464 is 106256

Least common multiple can be found by multiplying the highest exponent prime factors of 458 and 464. First we will calculate the prime factors of 458 and 464.

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

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

Now multiplying the highest exponent prime factors to calculate the LCM of 458 and 464.

LCM(458,464) = 24×291×2291
LCM(458,464) = 106256

Factors of 458

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

1, 2, 229, 458

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Least Common Multiple of 458 and 464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 458 and 464, than apply into the LCM equation.

GCF(458,464) = 2
LCM(458,464) = ( 458 × 464) / 2
LCM(458,464) = 212512 / 2
LCM(458,464) = 106256

Properties of LCM 458 and 464

(i) The LCM of 464 and 458 is associative

LCM of 458 and 464 = LCM of 464 and 458

Related Least Common Multiples of 458

Related Least Common Multiples of 464

Frequently Asked Questions on LCM of 458 and 464

1. What is the LCM of 458 and 464?

Answer: LCM of 458 and 464 is 106256.

2. 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.

3. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

4. How to Find the LCM of 458 and 464?

Answer:

Least Common Multiple of 458 and 464 = 106256

Step 1: Find the prime factorization of 458

458 = 2 x 229

Step 2: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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

LCM = 106256 = 2 x 2 x 2 x 2 x 29 x 229

Step 4: Therefore, the least common multiple of 458 and 464 is 106256.