Least Common Multiple of 5637 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 5637 and 5642 the smallest integer that is 31803954 that is divisible by both numbers.

Least Common Multiple (LCM) of 5637 and 5642 is 31803954.

LCM(5637,5642) = 31803954

LCM of 5637 and 5642

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

LCM of:
and

Least Common Multiple of 5637 and 5642

LCM of 5637 and 5642 is 31803954

Least common multiple can be found by multiplying the highest exponent prime factors of 5637 and 5642. First we will calculate the prime factors of 5637 and 5642.

Prime Factorization of 5637


3 5637
1879 1879
1

Prime factors of 5637 are 3,1879. Prime factorization of 5637 in exponential form is:

5637 = 31×18791

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 5637 and 5642.

LCM(5637,5642) = 21×31×71×131×311×18791
LCM(5637,5642) = 31803954

Factors of 5637

List of positive integer factors of 5637 that divides 5637 without a remainder.

1, 3, 1879, 5637

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 5637 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 5637 and 5642, than apply into the LCM equation.

GCF(5637,5642) = 1
LCM(5637,5642) = ( 5637 × 5642) / 1
LCM(5637,5642) = 31803954 / 1
LCM(5637,5642) = 31803954

Properties of LCM 5637 and 5642

(i) The LCM of 5642 and 5637 is associative

LCM of 5637 and 5642 = LCM of 5642 and 5637

Related Least Common Multiples of 5637

Related Least Common Multiples of 5642

Frequently Asked Questions on LCM of 5637 and 5642

1. What is the LCM of 5637 and 5642?

Answer: LCM of 5637 and 5642 is 31803954.

2. What are the Factors of 5637?

Answer: Factors of 5637 are 1, 3, 1879, 5637. There are 4 integers that are factors of 5637. The greatest factor of 5637 is 5637.

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 5637 and 5642?

Answer:

Least Common Multiple of 5637 and 5642 = 31803954

Step 1: Find the prime factorization of 5637

5637 = 3 x 1879

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 = 31803954 = 2 x 3 x 7 x 13 x 31 x 1879

Step 4: Therefore, the least common multiple of 5637 and 5642 is 31803954.