Least Common Multiple of 451 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 451 and 458 the smallest integer that is 206558 that is divisible by both numbers.

Least Common Multiple (LCM) of 451 and 458 is 206558.

LCM(451,458) = 206558

LCM of 451 and 458

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

LCM of:
and

Least Common Multiple of 451 and 458

LCM of 451 and 458 is 206558

Least common multiple can be found by multiplying the highest exponent prime factors of 451 and 458. First we will calculate the prime factors of 451 and 458.

Prime Factorization of 451


11 451
41 41
1

Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:

451 = 111×411

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 451 and 458.

LCM(451,458) = 21×111×411×2291
LCM(451,458) = 206558

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Factors of 458

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

1, 2, 229, 458

Least Common Multiple of 451 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 451 and 458, than apply into the LCM equation.

GCF(451,458) = 1
LCM(451,458) = ( 451 × 458) / 1
LCM(451,458) = 206558 / 1
LCM(451,458) = 206558

Properties of LCM 451 and 458

(i) The LCM of 458 and 451 is associative

LCM of 451 and 458 = LCM of 458 and 451

Related Least Common Multiples of 451

Related Least Common Multiples of 458

Frequently Asked Questions on LCM of 451 and 458

1. What is the LCM of 451 and 458?

Answer: LCM of 451 and 458 is 206558.

2. What are the Factors of 451?

Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.

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 451 and 458?

Answer:

Least Common Multiple of 451 and 458 = 206558

Step 1: Find the prime factorization of 451

451 = 11 x 41

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 = 206558 = 2 x 11 x 41 x 229

Step 4: Therefore, the least common multiple of 451 and 458 is 206558.