Least Common Multiple of 5626 and 5634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5626 and 5634 the smallest integer that is 15848442 that is divisible by both numbers.

Least Common Multiple (LCM) of 5626 and 5634 is 15848442.

LCM(5626,5634) = 15848442

LCM of 5626 and 5634

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

LCM of:
and

Least Common Multiple of 5626 and 5634

LCM of 5626 and 5634 is 15848442

Least common multiple can be found by multiplying the highest exponent prime factors of 5626 and 5634. First we will calculate the prime factors of 5626 and 5634.

Prime Factorization of 5626


2 5626
29 2813
97 97
1

Prime factors of 5626 are 2, 29,97. Prime factorization of 5626 in exponential form is:

5626 = 21×291×971

Prime Factorization of 5634


2 5634
3 2817
3 939
313 313
1

Prime factors of 5634 are 2, 3,313. Prime factorization of 5634 in exponential form is:

5634 = 21×32×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 5626 and 5634.

LCM(5626,5634) = 21×32×291×971×3131
LCM(5626,5634) = 15848442

Factors of 5626

List of positive integer factors of 5626 that divides 5626 without a remainder.

1, 2, 29, 58, 97, 194, 2813, 5626

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634

Least Common Multiple of 5626 and 5634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5626 and 5634, than apply into the LCM equation.

GCF(5626,5634) = 2
LCM(5626,5634) = ( 5626 × 5634) / 2
LCM(5626,5634) = 31696884 / 2
LCM(5626,5634) = 15848442

Properties of LCM 5626 and 5634

(i) The LCM of 5634 and 5626 is associative

LCM of 5626 and 5634 = LCM of 5634 and 5626

Related Least Common Multiples of 5626

Related Least Common Multiples of 5634

Frequently Asked Questions on LCM of 5626 and 5634

1. What is the LCM of 5626 and 5634?

Answer: LCM of 5626 and 5634 is 15848442.

2. What are the Factors of 5626?

Answer: Factors of 5626 are 1, 2, 29, 58, 97, 194, 2813, 5626. There are 8 integers that are factors of 5626. The greatest factor of 5626 is 5626.

3. What are the Factors of 5634?

Answer: Factors of 5634 are 1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634. There are 12 integers that are factors of 5634. The greatest factor of 5634 is 5634.

4. How to Find the LCM of 5626 and 5634?

Answer:

Least Common Multiple of 5626 and 5634 = 15848442

Step 1: Find the prime factorization of 5626

5626 = 2 x 29 x 97

Step 2: Find the prime factorization of 5634

5634 = 2 x 3 x 3 x 313

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

LCM = 15848442 = 2 x 3 x 3 x 29 x 97 x 313

Step 4: Therefore, the least common multiple of 5626 and 5634 is 15848442.