Least Common Multiple of 453 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 453 and 458 the smallest integer that is 207474 that is divisible by both numbers.

Least Common Multiple (LCM) of 453 and 458 is 207474.

LCM(453,458) = 207474

LCM of 453 and 458

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

LCM of:
and

Least Common Multiple of 453 and 458

LCM of 453 and 458 is 207474

Least common multiple can be found by multiplying the highest exponent prime factors of 453 and 458. First we will calculate the prime factors of 453 and 458.

Prime Factorization of 453


3 453
151 151
1

Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:

453 = 31×1511

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 453 and 458.

LCM(453,458) = 21×31×1511×2291
LCM(453,458) = 207474

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Factors of 458

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

1, 2, 229, 458

Least Common Multiple of 453 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 453 and 458, than apply into the LCM equation.

GCF(453,458) = 1
LCM(453,458) = ( 453 × 458) / 1
LCM(453,458) = 207474 / 1
LCM(453,458) = 207474

Properties of LCM 453 and 458

(i) The LCM of 458 and 453 is associative

LCM of 453 and 458 = LCM of 458 and 453

Related Least Common Multiples of 453

Related Least Common Multiples of 458

Frequently Asked Questions on LCM of 453 and 458

1. What is the LCM of 453 and 458?

Answer: LCM of 453 and 458 is 207474.

2. What are the Factors of 453?

Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.

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 453 and 458?

Answer:

Least Common Multiple of 453 and 458 = 207474

Step 1: Find the prime factorization of 453

453 = 3 x 151

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 = 207474 = 2 x 3 x 151 x 229

Step 4: Therefore, the least common multiple of 453 and 458 is 207474.