Least Common Multiple of 447 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 447 and 452 the smallest integer that is 202044 that is divisible by both numbers.

Least Common Multiple (LCM) of 447 and 452 is 202044.

LCM(447,452) = 202044

LCM of 447 and 452

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

LCM of:
and

Least Common Multiple of 447 and 452

LCM of 447 and 452 is 202044

Least common multiple can be found by multiplying the highest exponent prime factors of 447 and 452. First we will calculate the prime factors of 447 and 452.

Prime Factorization of 447


3 447
149 149
1

Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:

447 = 31×1491

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 447 and 452.

LCM(447,452) = 22×31×1131×1491
LCM(447,452) = 202044

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1, 3, 149, 447

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 447 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 447 and 452, than apply into the LCM equation.

GCF(447,452) = 1
LCM(447,452) = ( 447 × 452) / 1
LCM(447,452) = 202044 / 1
LCM(447,452) = 202044

Properties of LCM 447 and 452

(i) The LCM of 452 and 447 is associative

LCM of 447 and 452 = LCM of 452 and 447

Related Least Common Multiples of 447

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 447 and 452

1. What is the LCM of 447 and 452?

Answer: LCM of 447 and 452 is 202044.

2. What are the Factors of 447?

Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.

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 447 and 452?

Answer:

Least Common Multiple of 447 and 452 = 202044

Step 1: Find the prime factorization of 447

447 = 3 x 149

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 = 202044 = 2 x 2 x 3 x 113 x 149

Step 4: Therefore, the least common multiple of 447 and 452 is 202044.