Least Common Multiple of 5442 and 5447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5442 and 5447 the smallest integer that is 29642574 that is divisible by both numbers.

Least Common Multiple (LCM) of 5442 and 5447 is 29642574.

LCM(5442,5447) = 29642574

LCM of 5442 and 5447

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

LCM of:
and

Least Common Multiple of 5442 and 5447

LCM of 5442 and 5447 is 29642574

Least common multiple can be found by multiplying the highest exponent prime factors of 5442 and 5447. First we will calculate the prime factors of 5442 and 5447.

Prime Factorization of 5442


2 5442
3 2721
907 907
1

Prime factors of 5442 are 2, 3,907. Prime factorization of 5442 in exponential form is:

5442 = 21×31×9071

Prime Factorization of 5447


13 5447
419 419
1

Prime factors of 5447 are 13,419. Prime factorization of 5447 in exponential form is:

5447 = 131×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 5442 and 5447.

LCM(5442,5447) = 21×31×131×4191×9071
LCM(5442,5447) = 29642574

Factors of 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1, 2, 3, 6, 907, 1814, 2721, 5442

Factors of 5447

List of positive integer factors of 5447 that divides 5447 without a remainder.

1, 13, 419, 5447

Least Common Multiple of 5442 and 5447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5442 and 5447, than apply into the LCM equation.

GCF(5442,5447) = 1
LCM(5442,5447) = ( 5442 × 5447) / 1
LCM(5442,5447) = 29642574 / 1
LCM(5442,5447) = 29642574

Properties of LCM 5442 and 5447

(i) The LCM of 5447 and 5442 is associative

LCM of 5442 and 5447 = LCM of 5447 and 5442

Related Least Common Multiples of 5442

Related Least Common Multiples of 5447

Frequently Asked Questions on LCM of 5442 and 5447

1. What is the LCM of 5442 and 5447?

Answer: LCM of 5442 and 5447 is 29642574.

2. What are the Factors of 5442?

Answer: Factors of 5442 are 1, 2, 3, 6, 907, 1814, 2721, 5442. There are 8 integers that are factors of 5442. The greatest factor of 5442 is 5442.

3. What are the Factors of 5447?

Answer: Factors of 5447 are 1, 13, 419, 5447. There are 4 integers that are factors of 5447. The greatest factor of 5447 is 5447.

4. How to Find the LCM of 5442 and 5447?

Answer:

Least Common Multiple of 5442 and 5447 = 29642574

Step 1: Find the prime factorization of 5442

5442 = 2 x 3 x 907

Step 2: Find the prime factorization of 5447

5447 = 13 x 419

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

LCM = 29642574 = 2 x 3 x 13 x 419 x 907

Step 4: Therefore, the least common multiple of 5442 and 5447 is 29642574.