Least Common Multiple of 5444 and 5451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5444 and 5451 the smallest integer that is 29675244 that is divisible by both numbers.

Least Common Multiple (LCM) of 5444 and 5451 is 29675244.

LCM(5444,5451) = 29675244

LCM of 5444 and 5451

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

LCM of:
and

Least Common Multiple of 5444 and 5451

LCM of 5444 and 5451 is 29675244

Least common multiple can be found by multiplying the highest exponent prime factors of 5444 and 5451. First we will calculate the prime factors of 5444 and 5451.

Prime Factorization of 5444


2 5444
2 2722
1361 1361
1

Prime factors of 5444 are 2,1361. Prime factorization of 5444 in exponential form is:

5444 = 22×13611

Prime Factorization of 5451


3 5451
23 1817
79 79
1

Prime factors of 5451 are 3, 23,79. Prime factorization of 5451 in exponential form is:

5451 = 31×231×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5444 and 5451.

LCM(5444,5451) = 22×31×231×791×13611
LCM(5444,5451) = 29675244

Factors of 5444

List of positive integer factors of 5444 that divides 5444 without a remainder.

1, 2, 4, 1361, 2722, 5444

Factors of 5451

List of positive integer factors of 5451 that divides 5451 without a remainder.

1, 3, 23, 69, 79, 237, 1817, 5451

Least Common Multiple of 5444 and 5451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5444 and 5451, than apply into the LCM equation.

GCF(5444,5451) = 1
LCM(5444,5451) = ( 5444 × 5451) / 1
LCM(5444,5451) = 29675244 / 1
LCM(5444,5451) = 29675244

Properties of LCM 5444 and 5451

(i) The LCM of 5451 and 5444 is associative

LCM of 5444 and 5451 = LCM of 5451 and 5444

Related Least Common Multiples of 5444

Related Least Common Multiples of 5451

Frequently Asked Questions on LCM of 5444 and 5451

1. What is the LCM of 5444 and 5451?

Answer: LCM of 5444 and 5451 is 29675244.

2. What are the Factors of 5444?

Answer: Factors of 5444 are 1, 2, 4, 1361, 2722, 5444. There are 6 integers that are factors of 5444. The greatest factor of 5444 is 5444.

3. What are the Factors of 5451?

Answer: Factors of 5451 are 1, 3, 23, 69, 79, 237, 1817, 5451. There are 8 integers that are factors of 5451. The greatest factor of 5451 is 5451.

4. How to Find the LCM of 5444 and 5451?

Answer:

Least Common Multiple of 5444 and 5451 = 29675244

Step 1: Find the prime factorization of 5444

5444 = 2 x 2 x 1361

Step 2: Find the prime factorization of 5451

5451 = 3 x 23 x 79

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

LCM = 29675244 = 2 x 2 x 3 x 23 x 79 x 1361

Step 4: Therefore, the least common multiple of 5444 and 5451 is 29675244.