Least Common Multiple of 458 and 462

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 462 the smallest integer that is 105798 that is divisible by both numbers.

Least Common Multiple (LCM) of 458 and 462 is 105798.

LCM(458,462) = 105798

LCM of 458 and 462

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

LCM of:
and

Least Common Multiple of 458 and 462

LCM of 458 and 462 is 105798

Least common multiple can be found by multiplying the highest exponent prime factors of 458 and 462. First we will calculate the prime factors of 458 and 462.

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 462


2 462
3 231
7 77
11 11
1

Prime factors of 462 are 2, 3, 7,11. Prime factorization of 462 in exponential form is:

462 = 21×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 458 and 462.

LCM(458,462) = 21×31×71×111×2291
LCM(458,462) = 105798

Factors of 458

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

1, 2, 229, 458

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Least Common Multiple of 458 and 462 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 462, than apply into the LCM equation.

GCF(458,462) = 2
LCM(458,462) = ( 458 × 462) / 2
LCM(458,462) = 211596 / 2
LCM(458,462) = 105798

Properties of LCM 458 and 462

(i) The LCM of 462 and 458 is associative

LCM of 458 and 462 = LCM of 462 and 458

Related Least Common Multiples of 458

Related Least Common Multiples of 462

Frequently Asked Questions on LCM of 458 and 462

1. What is the LCM of 458 and 462?

Answer: LCM of 458 and 462 is 105798.

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 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

4. How to Find the LCM of 458 and 462?

Answer:

Least Common Multiple of 458 and 462 = 105798

Step 1: Find the prime factorization of 458

458 = 2 x 229

Step 2: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

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

LCM = 105798 = 2 x 3 x 7 x 11 x 229

Step 4: Therefore, the least common multiple of 458 and 462 is 105798.