Least Common Multiple of 458 and 463

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 463 the smallest integer that is 212054 that is divisible by both numbers.

Least Common Multiple (LCM) of 458 and 463 is 212054.

LCM(458,463) = 212054

LCM of 458 and 463

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

LCM of:
and

Least Common Multiple of 458 and 463

LCM of 458 and 463 is 212054

Least common multiple can be found by multiplying the highest exponent prime factors of 458 and 463. First we will calculate the prime factors of 458 and 463.

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 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 458 and 463.

LCM(458,463) = 21×2291×4631
LCM(458,463) = 212054

Factors of 458

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

1, 2, 229, 458

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1, 463

Least Common Multiple of 458 and 463 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 463, than apply into the LCM equation.

GCF(458,463) = 1
LCM(458,463) = ( 458 × 463) / 1
LCM(458,463) = 212054 / 1
LCM(458,463) = 212054

Properties of LCM 458 and 463

(i) The LCM of 463 and 458 is associative

LCM of 458 and 463 = LCM of 463 and 458

Related Least Common Multiples of 458

Related Least Common Multiples of 463

Frequently Asked Questions on LCM of 458 and 463

1. What is the LCM of 458 and 463?

Answer: LCM of 458 and 463 is 212054.

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 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

4. How to Find the LCM of 458 and 463?

Answer:

Least Common Multiple of 458 and 463 = 212054

Step 1: Find the prime factorization of 458

458 = 2 x 229

Step 2: Find the prime factorization of 463

463 = 463

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

LCM = 212054 = 2 x 229 x 463

Step 4: Therefore, the least common multiple of 458 and 463 is 212054.