Least Common Multiple of 1442 and 1450

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 1450 the smallest integer that is 1045450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1442 and 1450 is 1045450.

LCM(1442,1450) = 1045450

LCM of 1442 and 1450

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

LCM of:
and

Least Common Multiple of 1442 and 1450

LCM of 1442 and 1450 is 1045450

Least common multiple can be found by multiplying the highest exponent prime factors of 1442 and 1450. First we will calculate the prime factors of 1442 and 1450.

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 1450


2 1450
5 725
5 145
29 29
1

Prime factors of 1450 are 2, 5,29. Prime factorization of 1450 in exponential form is:

1450 = 21×52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1442 and 1450.

LCM(1442,1450) = 21×52×71×291×1031
LCM(1442,1450) = 1045450

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 1450

List of positive integer factors of 1450 that divides 1450 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450

Least Common Multiple of 1442 and 1450 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 1450, than apply into the LCM equation.

GCF(1442,1450) = 2
LCM(1442,1450) = ( 1442 × 1450) / 2
LCM(1442,1450) = 2090900 / 2
LCM(1442,1450) = 1045450

Properties of LCM 1442 and 1450

(i) The LCM of 1450 and 1442 is associative

LCM of 1442 and 1450 = LCM of 1450 and 1442

Related Least Common Multiples of 1442

Related Least Common Multiples of 1450

Frequently Asked Questions on LCM of 1442 and 1450

1. What is the LCM of 1442 and 1450?

Answer: LCM of 1442 and 1450 is 1045450.

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 1450?

Answer: Factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450. There are 12 integers that are factors of 1450. The greatest factor of 1450 is 1450.

4. How to Find the LCM of 1442 and 1450?

Answer:

Least Common Multiple of 1442 and 1450 = 1045450

Step 1: Find the prime factorization of 1442

1442 = 2 x 7 x 103

Step 2: Find the prime factorization of 1450

1450 = 2 x 5 x 5 x 29

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

LCM = 1045450 = 2 x 5 x 5 x 7 x 29 x 103

Step 4: Therefore, the least common multiple of 1442 and 1450 is 1045450.