Least Common Multiple of 622 and 629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 622 and 629 the smallest integer that is 391238 that is divisible by both numbers.

Least Common Multiple (LCM) of 622 and 629 is 391238.

LCM(622,629) = 391238

LCM of 622 and 629

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

LCM of:
and

Least Common Multiple of 622 and 629

LCM of 622 and 629 is 391238

Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 629. First we will calculate the prime factors of 622 and 629.

Prime Factorization of 622


2 622
311 311
1

Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:

622 = 21×3111

Prime Factorization of 629


17 629
37 37
1

Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:

629 = 171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 629.

LCM(622,629) = 21×171×371×3111
LCM(622,629) = 391238

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Least Common Multiple of 622 and 629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 622 and 629, than apply into the LCM equation.

GCF(622,629) = 1
LCM(622,629) = ( 622 × 629) / 1
LCM(622,629) = 391238 / 1
LCM(622,629) = 391238

Properties of LCM 622 and 629

(i) The LCM of 629 and 622 is associative

LCM of 622 and 629 = LCM of 629 and 622

Related Least Common Multiples of 622

Related Least Common Multiples of 629

Frequently Asked Questions on LCM of 622 and 629

1. What is the LCM of 622 and 629?

Answer: LCM of 622 and 629 is 391238.

2. What are the Factors of 622?

Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.

3. What are the Factors of 629?

Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.

4. How to Find the LCM of 622 and 629?

Answer:

Least Common Multiple of 622 and 629 = 391238

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 629

629 = 17 x 37

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

LCM = 391238 = 2 x 17 x 37 x 311

Step 4: Therefore, the least common multiple of 622 and 629 is 391238.