Least Common Multiple of 446 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 446 and 453 the smallest integer that is 202038 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 453 is 202038.

LCM(446,453) = 202038

LCM of 446 and 453

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

LCM of:
and

Least Common Multiple of 446 and 453

LCM of 446 and 453 is 202038

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 453. First we will calculate the prime factors of 446 and 453.

Prime Factorization of 446


2 446
223 223
1

Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:

446 = 21×2231

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 446 and 453.

LCM(446,453) = 21×31×1511×2231
LCM(446,453) = 202038

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Factors of 453

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

1, 3, 151, 453

Least Common Multiple of 446 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 446 and 453, than apply into the LCM equation.

GCF(446,453) = 1
LCM(446,453) = ( 446 × 453) / 1
LCM(446,453) = 202038 / 1
LCM(446,453) = 202038

Properties of LCM 446 and 453

(i) The LCM of 453 and 446 is associative

LCM of 446 and 453 = LCM of 453 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 453

Frequently Asked Questions on LCM of 446 and 453

1. What is the LCM of 446 and 453?

Answer: LCM of 446 and 453 is 202038.

2. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

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 446 and 453?

Answer:

Least Common Multiple of 446 and 453 = 202038

Step 1: Find the prime factorization of 446

446 = 2 x 223

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 = 202038 = 2 x 3 x 151 x 223

Step 4: Therefore, the least common multiple of 446 and 453 is 202038.