Least Common Multiple of 5634 and 5642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5634 and 5642 the smallest integer that is 15893514 that is divisible by both numbers.

Least Common Multiple (LCM) of 5634 and 5642 is 15893514.

LCM(5634,5642) = 15893514

LCM of 5634 and 5642

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

LCM of:
and

Least Common Multiple of 5634 and 5642

LCM of 5634 and 5642 is 15893514

Least common multiple can be found by multiplying the highest exponent prime factors of 5634 and 5642. First we will calculate the prime factors of 5634 and 5642.

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

Prime Factorization of 5642


2 5642
7 2821
13 403
31 31
1

Prime factors of 5642 are 2, 7, 13,31. Prime factorization of 5642 in exponential form is:

5642 = 21×71×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5634 and 5642.

LCM(5634,5642) = 21×32×71×131×311×3131
LCM(5634,5642) = 15893514

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

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642

Least Common Multiple of 5634 and 5642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5634 and 5642, than apply into the LCM equation.

GCF(5634,5642) = 2
LCM(5634,5642) = ( 5634 × 5642) / 2
LCM(5634,5642) = 31787028 / 2
LCM(5634,5642) = 15893514

Properties of LCM 5634 and 5642

(i) The LCM of 5642 and 5634 is associative

LCM of 5634 and 5642 = LCM of 5642 and 5634

Related Least Common Multiples of 5634

Related Least Common Multiples of 5642

Frequently Asked Questions on LCM of 5634 and 5642

1. What is the LCM of 5634 and 5642?

Answer: LCM of 5634 and 5642 is 15893514.

2. 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.

3. What are the Factors of 5642?

Answer: Factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642. There are 16 integers that are factors of 5642. The greatest factor of 5642 is 5642.

4. How to Find the LCM of 5634 and 5642?

Answer:

Least Common Multiple of 5634 and 5642 = 15893514

Step 1: Find the prime factorization of 5634

5634 = 2 x 3 x 3 x 313

Step 2: Find the prime factorization of 5642

5642 = 2 x 7 x 13 x 31

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

LCM = 15893514 = 2 x 3 x 3 x 7 x 13 x 31 x 313

Step 4: Therefore, the least common multiple of 5634 and 5642 is 15893514.