Least Common Multiple of 5446 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 5446 and 5447 the smallest integer that is 29664362 that is divisible by both numbers.

Least Common Multiple (LCM) of 5446 and 5447 is 29664362.

LCM(5446,5447) = 29664362

LCM of 5446 and 5447

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

LCM of:
and

Least Common Multiple of 5446 and 5447

LCM of 5446 and 5447 is 29664362

Least common multiple can be found by multiplying the highest exponent prime factors of 5446 and 5447. First we will calculate the prime factors of 5446 and 5447.

Prime Factorization of 5446


2 5446
7 2723
389 389
1

Prime factors of 5446 are 2, 7,389. Prime factorization of 5446 in exponential form is:

5446 = 21×71×3891

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 5446 and 5447.

LCM(5446,5447) = 21×71×131×3891×4191
LCM(5446,5447) = 29664362

Factors of 5446

List of positive integer factors of 5446 that divides 5446 without a remainder.

1, 2, 7, 14, 389, 778, 2723, 5446

Factors of 5447

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

1, 13, 419, 5447

Least Common Multiple of 5446 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 5446 and 5447, than apply into the LCM equation.

GCF(5446,5447) = 1
LCM(5446,5447) = ( 5446 × 5447) / 1
LCM(5446,5447) = 29664362 / 1
LCM(5446,5447) = 29664362

Properties of LCM 5446 and 5447

(i) The LCM of 5447 and 5446 is associative

LCM of 5446 and 5447 = LCM of 5447 and 5446

Related Least Common Multiples of 5446

Related Least Common Multiples of 5447

Frequently Asked Questions on LCM of 5446 and 5447

1. What is the LCM of 5446 and 5447?

Answer: LCM of 5446 and 5447 is 29664362.

2. What are the Factors of 5446?

Answer: Factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446. There are 8 integers that are factors of 5446. The greatest factor of 5446 is 5446.

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 5446 and 5447?

Answer:

Least Common Multiple of 5446 and 5447 = 29664362

Step 1: Find the prime factorization of 5446

5446 = 2 x 7 x 389

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 = 29664362 = 2 x 7 x 13 x 389 x 419

Step 4: Therefore, the least common multiple of 5446 and 5447 is 29664362.