Least Common Multiple of 452 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 452 and 459 the smallest integer that is 207468 that is divisible by both numbers.

Least Common Multiple (LCM) of 452 and 459 is 207468.

LCM(452,459) = 207468

LCM of 452 and 459

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

LCM of:
and

Least Common Multiple of 452 and 459

LCM of 452 and 459 is 207468

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 459. First we will calculate the prime factors of 452 and 459.

Prime Factorization of 452


2 452
2 226
113 113
1

Prime factors of 452 are 2,113. Prime factorization of 452 in exponential form is:

452 = 22×1131

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 452 and 459.

LCM(452,459) = 22×33×171×1131
LCM(452,459) = 207468

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 452 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 452 and 459, than apply into the LCM equation.

GCF(452,459) = 1
LCM(452,459) = ( 452 × 459) / 1
LCM(452,459) = 207468 / 1
LCM(452,459) = 207468

Properties of LCM 452 and 459

(i) The LCM of 459 and 452 is associative

LCM of 452 and 459 = LCM of 459 and 452

Related Least Common Multiples of 452

Related Least Common Multiples of 459

Frequently Asked Questions on LCM of 452 and 459

1. What is the LCM of 452 and 459?

Answer: LCM of 452 and 459 is 207468.

2. What are the Factors of 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

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 452 and 459?

Answer:

Least Common Multiple of 452 and 459 = 207468

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

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 = 207468 = 2 x 2 x 3 x 3 x 3 x 17 x 113

Step 4: Therefore, the least common multiple of 452 and 459 is 207468.