Least Common Multiple of 451 and 459

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 459 the smallest integer that is 207009 that is divisible by both numbers.

Least Common Multiple (LCM) of 451 and 459 is 207009.

LCM(451,459) = 207009

LCM of 451 and 459

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

LCM of:
and

Least Common Multiple of 451 and 459

LCM of 451 and 459 is 207009

Least common multiple can be found by multiplying the highest exponent prime factors of 451 and 459. First we will calculate the prime factors of 451 and 459.

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 459


3 459
3 153
3 51
17 17
1

Prime factors of 459 are 3,17. Prime factorization of 459 in exponential form is:

459 = 33×171

Now multiplying the highest exponent prime factors to calculate the LCM of 451 and 459.

LCM(451,459) = 33×111×171×411
LCM(451,459) = 207009

Factors of 451

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

1, 11, 41, 451

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Least Common Multiple of 451 and 459 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 459, than apply into the LCM equation.

GCF(451,459) = 1
LCM(451,459) = ( 451 × 459) / 1
LCM(451,459) = 207009 / 1
LCM(451,459) = 207009

Properties of LCM 451 and 459

(i) The LCM of 459 and 451 is associative

LCM of 451 and 459 = LCM of 459 and 451

Related Least Common Multiples of 451

Related Least Common Multiples of 459

Frequently Asked Questions on LCM of 451 and 459

1. What is the LCM of 451 and 459?

Answer: LCM of 451 and 459 is 207009.

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 459?

Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.

4. How to Find the LCM of 451 and 459?

Answer:

Least Common Multiple of 451 and 459 = 207009

Step 1: Find the prime factorization of 451

451 = 11 x 41

Step 2: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

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

LCM = 207009 = 3 x 3 x 3 x 11 x 17 x 41

Step 4: Therefore, the least common multiple of 451 and 459 is 207009.