Least Common Multiple of 1442 and 1446

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 1446 the smallest integer that is 1042566 that is divisible by both numbers.

Least Common Multiple (LCM) of 1442 and 1446 is 1042566.

LCM(1442,1446) = 1042566

LCM of 1442 and 1446

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

LCM of:
and

Least Common Multiple of 1442 and 1446

LCM of 1442 and 1446 is 1042566

Least common multiple can be found by multiplying the highest exponent prime factors of 1442 and 1446. First we will calculate the prime factors of 1442 and 1446.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1442 and 1446.

LCM(1442,1446) = 21×31×71×1031×2411
LCM(1442,1446) = 1042566

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 1446

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

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

Least Common Multiple of 1442 and 1446 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 1446, than apply into the LCM equation.

GCF(1442,1446) = 2
LCM(1442,1446) = ( 1442 × 1446) / 2
LCM(1442,1446) = 2085132 / 2
LCM(1442,1446) = 1042566

Properties of LCM 1442 and 1446

(i) The LCM of 1446 and 1442 is associative

LCM of 1442 and 1446 = LCM of 1446 and 1442

Related Least Common Multiples of 1442

Related Least Common Multiples of 1446

Frequently Asked Questions on LCM of 1442 and 1446

1. What is the LCM of 1442 and 1446?

Answer: LCM of 1442 and 1446 is 1042566.

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 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.

4. How to Find the LCM of 1442 and 1446?

Answer:

Least Common Multiple of 1442 and 1446 = 1042566

Step 1: Find the prime factorization of 1442

1442 = 2 x 7 x 103

Step 2: Find the prime factorization of 1446

1446 = 2 x 3 x 241

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

LCM = 1042566 = 2 x 3 x 7 x 103 x 241

Step 4: Therefore, the least common multiple of 1442 and 1446 is 1042566.