Least Common Multiple of 446 and 447

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 447 the smallest integer that is 199362 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 447 is 199362.

LCM(446,447) = 199362

LCM of 446 and 447

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

LCM of:
and

Least Common Multiple of 446 and 447

LCM of 446 and 447 is 199362

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 447. First we will calculate the prime factors of 446 and 447.

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 447


3 447
149 149
1

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

447 = 31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 446 and 447.

LCM(446,447) = 21×31×1491×2231
LCM(446,447) = 199362

Factors of 446

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

1, 2, 223, 446

Factors of 447

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

1, 3, 149, 447

Least Common Multiple of 446 and 447 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 447, than apply into the LCM equation.

GCF(446,447) = 1
LCM(446,447) = ( 446 × 447) / 1
LCM(446,447) = 199362 / 1
LCM(446,447) = 199362

Properties of LCM 446 and 447

(i) The LCM of 447 and 446 is associative

LCM of 446 and 447 = LCM of 447 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 447

Frequently Asked Questions on LCM of 446 and 447

1. What is the LCM of 446 and 447?

Answer: LCM of 446 and 447 is 199362.

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 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.

4. How to Find the LCM of 446 and 447?

Answer:

Least Common Multiple of 446 and 447 = 199362

Step 1: Find the prime factorization of 446

446 = 2 x 223

Step 2: Find the prime factorization of 447

447 = 3 x 149

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

LCM = 199362 = 2 x 3 x 149 x 223

Step 4: Therefore, the least common multiple of 446 and 447 is 199362.