Least Common Multiple of 449 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 449 and 453 the smallest integer that is 203397 that is divisible by both numbers.

Least Common Multiple (LCM) of 449 and 453 is 203397.

LCM(449,453) = 203397

LCM of 449 and 453

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

LCM of:
and

Least Common Multiple of 449 and 453

LCM of 449 and 453 is 203397

Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 453. First we will calculate the prime factors of 449 and 453.

Prime Factorization of 449


449 449
1

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 4491

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 449 and 453.

LCM(449,453) = 31×1511×4491
LCM(449,453) = 203397

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1, 449

Factors of 453

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

1, 3, 151, 453

Least Common Multiple of 449 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 449 and 453, than apply into the LCM equation.

GCF(449,453) = 1
LCM(449,453) = ( 449 × 453) / 1
LCM(449,453) = 203397 / 1
LCM(449,453) = 203397

Properties of LCM 449 and 453

(i) The LCM of 453 and 449 is associative

LCM of 449 and 453 = LCM of 453 and 449

Related Least Common Multiples of 449

Related Least Common Multiples of 453

Frequently Asked Questions on LCM of 449 and 453

1. What is the LCM of 449 and 453?

Answer: LCM of 449 and 453 is 203397.

2. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

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 449 and 453?

Answer:

Least Common Multiple of 449 and 453 = 203397

Step 1: Find the prime factorization of 449

449 = 449

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 = 203397 = 3 x 151 x 449

Step 4: Therefore, the least common multiple of 449 and 453 is 203397.