Least Common Multiple of 1444 and 1451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1444 and 1451 the smallest integer that is 2095244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1444 and 1451 is 2095244.

LCM(1444,1451) = 2095244

LCM of 1444 and 1451

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

LCM of:
and

Least Common Multiple of 1444 and 1451

LCM of 1444 and 1451 is 2095244

Least common multiple can be found by multiplying the highest exponent prime factors of 1444 and 1451. First we will calculate the prime factors of 1444 and 1451.

Prime Factorization of 1444


2 1444
2 722
19 361
19 19
1

Prime factors of 1444 are 2,19. Prime factorization of 1444 in exponential form is:

1444 = 22×192

Prime Factorization of 1451


1451 1451
1

Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:

1451 = 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 1444 and 1451.

LCM(1444,1451) = 22×192×14511
LCM(1444,1451) = 2095244

Factors of 1444

List of positive integer factors of 1444 that divides 1444 without a remainder.

1, 2, 4, 19, 38, 76, 361, 722, 1444

Factors of 1451

List of positive integer factors of 1451 that divides 1451 without a remainder.

1, 1451

Least Common Multiple of 1444 and 1451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1444 and 1451, than apply into the LCM equation.

GCF(1444,1451) = 1
LCM(1444,1451) = ( 1444 × 1451) / 1
LCM(1444,1451) = 2095244 / 1
LCM(1444,1451) = 2095244

Properties of LCM 1444 and 1451

(i) The LCM of 1451 and 1444 is associative

LCM of 1444 and 1451 = LCM of 1451 and 1444

Related Least Common Multiples of 1444

Related Least Common Multiples of 1451

Frequently Asked Questions on LCM of 1444 and 1451

1. What is the LCM of 1444 and 1451?

Answer: LCM of 1444 and 1451 is 2095244.

2. What are the Factors of 1444?

Answer: Factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444. There are 9 integers that are factors of 1444. The greatest factor of 1444 is 1444.

3. What are the Factors of 1451?

Answer: Factors of 1451 are 1, 1451. There are 2 integers that are factors of 1451. The greatest factor of 1451 is 1451.

4. How to Find the LCM of 1444 and 1451?

Answer:

Least Common Multiple of 1444 and 1451 = 2095244

Step 1: Find the prime factorization of 1444

1444 = 2 x 2 x 19 x 19

Step 2: Find the prime factorization of 1451

1451 = 1451

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

LCM = 2095244 = 2 x 2 x 19 x 19 x 1451

Step 4: Therefore, the least common multiple of 1444 and 1451 is 2095244.