Least Common Multiple of 621 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 621 and 629 the smallest integer that is 390609 that is divisible by both numbers.

Least Common Multiple (LCM) of 621 and 629 is 390609.

LCM(621,629) = 390609

LCM of 621 and 629

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

LCM of:
and

Least Common Multiple of 621 and 629

LCM of 621 and 629 is 390609

Least common multiple can be found by multiplying the highest exponent prime factors of 621 and 629. First we will calculate the prime factors of 621 and 629.

Prime Factorization of 621


3 621
3 207
3 69
23 23
1

Prime factors of 621 are 3,23. Prime factorization of 621 in exponential form is:

621 = 33×231

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 621 and 629.

LCM(621,629) = 33×171×231×371
LCM(621,629) = 390609

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Factors of 629

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

1, 17, 37, 629

Least Common Multiple of 621 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 621 and 629, than apply into the LCM equation.

GCF(621,629) = 1
LCM(621,629) = ( 621 × 629) / 1
LCM(621,629) = 390609 / 1
LCM(621,629) = 390609

Properties of LCM 621 and 629

(i) The LCM of 629 and 621 is associative

LCM of 621 and 629 = LCM of 629 and 621

Related Least Common Multiples of 621

Related Least Common Multiples of 629

Frequently Asked Questions on LCM of 621 and 629

1. What is the LCM of 621 and 629?

Answer: LCM of 621 and 629 is 390609.

2. What are the Factors of 621?

Answer: Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. There are 8 integers that are factors of 621. The greatest factor of 621 is 621.

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 621 and 629?

Answer:

Least Common Multiple of 621 and 629 = 390609

Step 1: Find the prime factorization of 621

621 = 3 x 3 x 3 x 23

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 = 390609 = 3 x 3 x 3 x 17 x 23 x 37

Step 4: Therefore, the least common multiple of 621 and 629 is 390609.