Least Common Multiple of 1445 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 1445 and 1450 the smallest integer that is 419050 that is divisible by both numbers.

Least Common Multiple (LCM) of 1445 and 1450 is 419050.

LCM(1445,1450) = 419050

LCM of 1445 and 1450

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

LCM of:
and

Least Common Multiple of 1445 and 1450

LCM of 1445 and 1450 is 419050

Least common multiple can be found by multiplying the highest exponent prime factors of 1445 and 1450. First we will calculate the prime factors of 1445 and 1450.

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

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 1445 and 1450.

LCM(1445,1450) = 21×52×172×291
LCM(1445,1450) = 419050

Factors of 1445

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

1, 5, 17, 85, 289, 1445

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 1445 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 1445 and 1450, than apply into the LCM equation.

GCF(1445,1450) = 5
LCM(1445,1450) = ( 1445 × 1450) / 5
LCM(1445,1450) = 2095250 / 5
LCM(1445,1450) = 419050

Properties of LCM 1445 and 1450

(i) The LCM of 1450 and 1445 is associative

LCM of 1445 and 1450 = LCM of 1450 and 1445

Related Least Common Multiples of 1445

Related Least Common Multiples of 1450

Frequently Asked Questions on LCM of 1445 and 1450

1. What is the LCM of 1445 and 1450?

Answer: LCM of 1445 and 1450 is 419050.

2. 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.

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 1445 and 1450?

Answer:

Least Common Multiple of 1445 and 1450 = 419050

Step 1: Find the prime factorization of 1445

1445 = 5 x 17 x 17

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 = 419050 = 2 x 5 x 5 x 17 x 17 x 29

Step 4: Therefore, the least common multiple of 1445 and 1450 is 419050.