Least Common Multiple of 1442 and 1445

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 1445 the smallest integer that is 2083690 that is divisible by both numbers.

Least Common Multiple (LCM) of 1442 and 1445 is 2083690.

LCM(1442,1445) = 2083690

LCM of 1442 and 1445

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

LCM of:
and

Least Common Multiple of 1442 and 1445

LCM of 1442 and 1445 is 2083690

Least common multiple can be found by multiplying the highest exponent prime factors of 1442 and 1445. First we will calculate the prime factors of 1442 and 1445.

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 1445


5 1445
17 289
17 17
1

Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:

1445 = 51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 1442 and 1445.

LCM(1442,1445) = 21×51×71×172×1031
LCM(1442,1445) = 2083690

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 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1, 5, 17, 85, 289, 1445

Least Common Multiple of 1442 and 1445 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 1445, than apply into the LCM equation.

GCF(1442,1445) = 1
LCM(1442,1445) = ( 1442 × 1445) / 1
LCM(1442,1445) = 2083690 / 1
LCM(1442,1445) = 2083690

Properties of LCM 1442 and 1445

(i) The LCM of 1445 and 1442 is associative

LCM of 1442 and 1445 = LCM of 1445 and 1442

Related Least Common Multiples of 1442

Related Least Common Multiples of 1445

Frequently Asked Questions on LCM of 1442 and 1445

1. What is the LCM of 1442 and 1445?

Answer: LCM of 1442 and 1445 is 2083690.

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 1445?

Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.

4. How to Find the LCM of 1442 and 1445?

Answer:

Least Common Multiple of 1442 and 1445 = 2083690

Step 1: Find the prime factorization of 1442

1442 = 2 x 7 x 103

Step 2: Find the prime factorization of 1445

1445 = 5 x 17 x 17

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

LCM = 2083690 = 2 x 5 x 7 x 17 x 17 x 103

Step 4: Therefore, the least common multiple of 1442 and 1445 is 2083690.