Least Common Multiple of 449 and 452

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 452 the smallest integer that is 202948 that is divisible by both numbers.

Least Common Multiple (LCM) of 449 and 452 is 202948.

LCM(449,452) = 202948

LCM of 449 and 452

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

LCM of:
and

Least Common Multiple of 449 and 452

LCM of 449 and 452 is 202948

Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 452. First we will calculate the prime factors of 449 and 452.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 449 and 452.

LCM(449,452) = 22×1131×4491
LCM(449,452) = 202948

Factors of 449

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

1, 449

Factors of 452

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

1, 2, 4, 113, 226, 452

Least Common Multiple of 449 and 452 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 452, than apply into the LCM equation.

GCF(449,452) = 1
LCM(449,452) = ( 449 × 452) / 1
LCM(449,452) = 202948 / 1
LCM(449,452) = 202948

Properties of LCM 449 and 452

(i) The LCM of 452 and 449 is associative

LCM of 449 and 452 = LCM of 452 and 449

Related Least Common Multiples of 449

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 449 and 452

1. What is the LCM of 449 and 452?

Answer: LCM of 449 and 452 is 202948.

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 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.

4. How to Find the LCM of 449 and 452?

Answer:

Least Common Multiple of 449 and 452 = 202948

Step 1: Find the prime factorization of 449

449 = 449

Step 2: Find the prime factorization of 452

452 = 2 x 2 x 113

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

LCM = 202948 = 2 x 2 x 113 x 449

Step 4: Therefore, the least common multiple of 449 and 452 is 202948.