Least Common Multiple of 1446 and 1447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1446 and 1447 the smallest integer that is 2092362 that is divisible by both numbers.

Least Common Multiple (LCM) of 1446 and 1447 is 2092362.

LCM(1446,1447) = 2092362

LCM of 1446 and 1447

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

LCM of:
and

Least Common Multiple of 1446 and 1447

LCM of 1446 and 1447 is 2092362

Least common multiple can be found by multiplying the highest exponent prime factors of 1446 and 1447. First we will calculate the prime factors of 1446 and 1447.

Prime Factorization of 1446


2 1446
3 723
241 241
1

Prime factors of 1446 are 2, 3,241. Prime factorization of 1446 in exponential form is:

1446 = 21×31×2411

Prime Factorization of 1447


1447 1447
1

Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:

1447 = 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 1446 and 1447.

LCM(1446,1447) = 21×31×2411×14471
LCM(1446,1447) = 2092362

Factors of 1446

List of positive integer factors of 1446 that divides 1446 without a remainder.

1, 2, 3, 6, 241, 482, 723, 1446

Factors of 1447

List of positive integer factors of 1447 that divides 1447 without a remainder.

1, 1447

Least Common Multiple of 1446 and 1447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1446 and 1447, than apply into the LCM equation.

GCF(1446,1447) = 1
LCM(1446,1447) = ( 1446 × 1447) / 1
LCM(1446,1447) = 2092362 / 1
LCM(1446,1447) = 2092362

Properties of LCM 1446 and 1447

(i) The LCM of 1447 and 1446 is associative

LCM of 1446 and 1447 = LCM of 1447 and 1446

Related Least Common Multiples of 1446

Related Least Common Multiples of 1447

Frequently Asked Questions on LCM of 1446 and 1447

1. What is the LCM of 1446 and 1447?

Answer: LCM of 1446 and 1447 is 2092362.

2. What are the Factors of 1446?

Answer: Factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446. There are 8 integers that are factors of 1446. The greatest factor of 1446 is 1446.

3. What are the Factors of 1447?

Answer: Factors of 1447 are 1, 1447. There are 2 integers that are factors of 1447. The greatest factor of 1447 is 1447.

4. How to Find the LCM of 1446 and 1447?

Answer:

Least Common Multiple of 1446 and 1447 = 2092362

Step 1: Find the prime factorization of 1446

1446 = 2 x 3 x 241

Step 2: Find the prime factorization of 1447

1447 = 1447

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

LCM = 2092362 = 2 x 3 x 241 x 1447

Step 4: Therefore, the least common multiple of 1446 and 1447 is 2092362.