Least Common Multiple of 1446 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 1446 and 1450 the smallest integer that is 1048350 that is divisible by both numbers.

Least Common Multiple (LCM) of 1446 and 1450 is 1048350.

LCM(1446,1450) = 1048350

LCM of 1446 and 1450

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

LCM of:
and

Least Common Multiple of 1446 and 1450

LCM of 1446 and 1450 is 1048350

Least common multiple can be found by multiplying the highest exponent prime factors of 1446 and 1450. First we will calculate the prime factors of 1446 and 1450.

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

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 1446 and 1450.

LCM(1446,1450) = 21×31×52×291×2411
LCM(1446,1450) = 1048350

Factors of 1446

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

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

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 1446 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 1446 and 1450, than apply into the LCM equation.

GCF(1446,1450) = 2
LCM(1446,1450) = ( 1446 × 1450) / 2
LCM(1446,1450) = 2096700 / 2
LCM(1446,1450) = 1048350

Properties of LCM 1446 and 1450

(i) The LCM of 1450 and 1446 is associative

LCM of 1446 and 1450 = LCM of 1450 and 1446

Related Least Common Multiples of 1446

Related Least Common Multiples of 1450

Frequently Asked Questions on LCM of 1446 and 1450

1. What is the LCM of 1446 and 1450?

Answer: LCM of 1446 and 1450 is 1048350.

2. 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.

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 1446 and 1450?

Answer:

Least Common Multiple of 1446 and 1450 = 1048350

Step 1: Find the prime factorization of 1446

1446 = 2 x 3 x 241

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 = 1048350 = 2 x 3 x 5 x 5 x 29 x 241

Step 4: Therefore, the least common multiple of 1446 and 1450 is 1048350.