Least Common Multiple of 5446 and 5452

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 5452 the smallest integer that is 14845796 that is divisible by both numbers.

Least Common Multiple (LCM) of 5446 and 5452 is 14845796.

LCM(5446,5452) = 14845796

LCM of 5446 and 5452

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

LCM of:
and

Least Common Multiple of 5446 and 5452

LCM of 5446 and 5452 is 14845796

Least common multiple can be found by multiplying the highest exponent prime factors of 5446 and 5452. First we will calculate the prime factors of 5446 and 5452.

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 5452


2 5452
2 2726
29 1363
47 47
1

Prime factors of 5452 are 2, 29,47. Prime factorization of 5452 in exponential form is:

5452 = 22×291×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5446 and 5452.

LCM(5446,5452) = 22×71×291×471×3891
LCM(5446,5452) = 14845796

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 5452

List of positive integer factors of 5452 that divides 5452 without a remainder.

1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452

Least Common Multiple of 5446 and 5452 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 5452, than apply into the LCM equation.

GCF(5446,5452) = 2
LCM(5446,5452) = ( 5446 × 5452) / 2
LCM(5446,5452) = 29691592 / 2
LCM(5446,5452) = 14845796

Properties of LCM 5446 and 5452

(i) The LCM of 5452 and 5446 is associative

LCM of 5446 and 5452 = LCM of 5452 and 5446

Related Least Common Multiples of 5446

Related Least Common Multiples of 5452

Frequently Asked Questions on LCM of 5446 and 5452

1. What is the LCM of 5446 and 5452?

Answer: LCM of 5446 and 5452 is 14845796.

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 5452?

Answer: Factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452. There are 12 integers that are factors of 5452. The greatest factor of 5452 is 5452.

4. How to Find the LCM of 5446 and 5452?

Answer:

Least Common Multiple of 5446 and 5452 = 14845796

Step 1: Find the prime factorization of 5446

5446 = 2 x 7 x 389

Step 2: Find the prime factorization of 5452

5452 = 2 x 2 x 29 x 47

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

LCM = 14845796 = 2 x 2 x 7 x 29 x 47 x 389

Step 4: Therefore, the least common multiple of 5446 and 5452 is 14845796.