Least Common Multiple of 451 and 454

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 454 the smallest integer that is 204754 that is divisible by both numbers.

Least Common Multiple (LCM) of 451 and 454 is 204754.

LCM(451,454) = 204754

LCM of 451 and 454

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

LCM of:
and

Least Common Multiple of 451 and 454

LCM of 451 and 454 is 204754

Least common multiple can be found by multiplying the highest exponent prime factors of 451 and 454. First we will calculate the prime factors of 451 and 454.

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 454


2 454
227 227
1

Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:

454 = 21×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 451 and 454.

LCM(451,454) = 21×111×411×2271
LCM(451,454) = 204754

Factors of 451

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

1, 11, 41, 451

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Least Common Multiple of 451 and 454 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 454, than apply into the LCM equation.

GCF(451,454) = 1
LCM(451,454) = ( 451 × 454) / 1
LCM(451,454) = 204754 / 1
LCM(451,454) = 204754

Properties of LCM 451 and 454

(i) The LCM of 454 and 451 is associative

LCM of 451 and 454 = LCM of 454 and 451

Related Least Common Multiples of 451

Related Least Common Multiples of 454

Frequently Asked Questions on LCM of 451 and 454

1. What is the LCM of 451 and 454?

Answer: LCM of 451 and 454 is 204754.

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 454?

Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.

4. How to Find the LCM of 451 and 454?

Answer:

Least Common Multiple of 451 and 454 = 204754

Step 1: Find the prime factorization of 451

451 = 11 x 41

Step 2: Find the prime factorization of 454

454 = 2 x 227

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

LCM = 204754 = 2 x 11 x 41 x 227

Step 4: Therefore, the least common multiple of 451 and 454 is 204754.