Least Common Multiple of 452 and 453

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 453 the smallest integer that is 204756 that is divisible by both numbers.

Least Common Multiple (LCM) of 452 and 453 is 204756.

LCM(452,453) = 204756

LCM of 452 and 453

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

LCM of:
and

Least Common Multiple of 452 and 453

LCM of 452 and 453 is 204756

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 453. First we will calculate the prime factors of 452 and 453.

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 453


3 453
151 151
1

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

453 = 31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 452 and 453.

LCM(452,453) = 22×31×1131×1511
LCM(452,453) = 204756

Factors of 452

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

1, 2, 4, 113, 226, 452

Factors of 453

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

1, 3, 151, 453

Least Common Multiple of 452 and 453 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 453, than apply into the LCM equation.

GCF(452,453) = 1
LCM(452,453) = ( 452 × 453) / 1
LCM(452,453) = 204756 / 1
LCM(452,453) = 204756

Properties of LCM 452 and 453

(i) The LCM of 453 and 452 is associative

LCM of 452 and 453 = LCM of 453 and 452

Related Least Common Multiples of 452

Related Least Common Multiples of 453

Frequently Asked Questions on LCM of 452 and 453

1. What is the LCM of 452 and 453?

Answer: LCM of 452 and 453 is 204756.

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 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.

4. How to Find the LCM of 452 and 453?

Answer:

Least Common Multiple of 452 and 453 = 204756

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

Step 2: Find the prime factorization of 453

453 = 3 x 151

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

LCM = 204756 = 2 x 2 x 3 x 113 x 151

Step 4: Therefore, the least common multiple of 452 and 453 is 204756.