Least Common Multiple of 5622 and 5629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5622 and 5629 the smallest integer that is 31646238 that is divisible by both numbers.

Least Common Multiple (LCM) of 5622 and 5629 is 31646238.

LCM(5622,5629) = 31646238

LCM of 5622 and 5629

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

LCM of:
and

Least Common Multiple of 5622 and 5629

LCM of 5622 and 5629 is 31646238

Least common multiple can be found by multiplying the highest exponent prime factors of 5622 and 5629. First we will calculate the prime factors of 5622 and 5629.

Prime Factorization of 5622


2 5622
3 2811
937 937
1

Prime factors of 5622 are 2, 3,937. Prime factorization of 5622 in exponential form is:

5622 = 21×31×9371

Prime Factorization of 5629


13 5629
433 433
1

Prime factors of 5629 are 13,433. Prime factorization of 5629 in exponential form is:

5629 = 131×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 5622 and 5629.

LCM(5622,5629) = 21×31×131×4331×9371
LCM(5622,5629) = 31646238

Factors of 5622

List of positive integer factors of 5622 that divides 5622 without a remainder.

1, 2, 3, 6, 937, 1874, 2811, 5622

Factors of 5629

List of positive integer factors of 5629 that divides 5629 without a remainder.

1, 13, 433, 5629

Least Common Multiple of 5622 and 5629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5622 and 5629, than apply into the LCM equation.

GCF(5622,5629) = 1
LCM(5622,5629) = ( 5622 × 5629) / 1
LCM(5622,5629) = 31646238 / 1
LCM(5622,5629) = 31646238

Properties of LCM 5622 and 5629

(i) The LCM of 5629 and 5622 is associative

LCM of 5622 and 5629 = LCM of 5629 and 5622

Related Least Common Multiples of 5622

Related Least Common Multiples of 5629

Frequently Asked Questions on LCM of 5622 and 5629

1. What is the LCM of 5622 and 5629?

Answer: LCM of 5622 and 5629 is 31646238.

2. What are the Factors of 5622?

Answer: Factors of 5622 are 1, 2, 3, 6, 937, 1874, 2811, 5622. There are 8 integers that are factors of 5622. The greatest factor of 5622 is 5622.

3. What are the Factors of 5629?

Answer: Factors of 5629 are 1, 13, 433, 5629. There are 4 integers that are factors of 5629. The greatest factor of 5629 is 5629.

4. How to Find the LCM of 5622 and 5629?

Answer:

Least Common Multiple of 5622 and 5629 = 31646238

Step 1: Find the prime factorization of 5622

5622 = 2 x 3 x 937

Step 2: Find the prime factorization of 5629

5629 = 13 x 433

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

LCM = 31646238 = 2 x 3 x 13 x 433 x 937

Step 4: Therefore, the least common multiple of 5622 and 5629 is 31646238.