Least Common Multiple of 1442 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 1442 and 1447 the smallest integer that is 2086574 that is divisible by both numbers.

Least Common Multiple (LCM) of 1442 and 1447 is 2086574.

LCM(1442,1447) = 2086574

LCM of 1442 and 1447

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

LCM of:
and

Least Common Multiple of 1442 and 1447

LCM of 1442 and 1447 is 2086574

Least common multiple can be found by multiplying the highest exponent prime factors of 1442 and 1447. First we will calculate the prime factors of 1442 and 1447.

Prime Factorization of 1442


2 1442
7 721
103 103
1

Prime factors of 1442 are 2, 7,103. Prime factorization of 1442 in exponential form is:

1442 = 21×71×1031

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 1442 and 1447.

LCM(1442,1447) = 21×71×1031×14471
LCM(1442,1447) = 2086574

Factors of 1442

List of positive integer factors of 1442 that divides 1442 without a remainder.

1, 2, 7, 14, 103, 206, 721, 1442

Factors of 1447

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

1, 1447

Least Common Multiple of 1442 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 1442 and 1447, than apply into the LCM equation.

GCF(1442,1447) = 1
LCM(1442,1447) = ( 1442 × 1447) / 1
LCM(1442,1447) = 2086574 / 1
LCM(1442,1447) = 2086574

Properties of LCM 1442 and 1447

(i) The LCM of 1447 and 1442 is associative

LCM of 1442 and 1447 = LCM of 1447 and 1442

Related Least Common Multiples of 1442

Related Least Common Multiples of 1447

Frequently Asked Questions on LCM of 1442 and 1447

1. What is the LCM of 1442 and 1447?

Answer: LCM of 1442 and 1447 is 2086574.

2. What are the Factors of 1442?

Answer: Factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442. There are 8 integers that are factors of 1442. The greatest factor of 1442 is 1442.

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 1442 and 1447?

Answer:

Least Common Multiple of 1442 and 1447 = 2086574

Step 1: Find the prime factorization of 1442

1442 = 2 x 7 x 103

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 = 2086574 = 2 x 7 x 103 x 1447

Step 4: Therefore, the least common multiple of 1442 and 1447 is 2086574.