Least Common Multiple of 629 and 633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 629 and 633 the smallest integer that is 398157 that is divisible by both numbers.

Least Common Multiple (LCM) of 629 and 633 is 398157.

LCM(629,633) = 398157

LCM of 629 and 633

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

LCM of:
and

Least Common Multiple of 629 and 633

LCM of 629 and 633 is 398157

Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 633. First we will calculate the prime factors of 629 and 633.

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

Prime Factorization of 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 629 and 633.

LCM(629,633) = 31×171×371×2111
LCM(629,633) = 398157

Factors of 629

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

1, 17, 37, 629

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Least Common Multiple of 629 and 633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 629 and 633, than apply into the LCM equation.

GCF(629,633) = 1
LCM(629,633) = ( 629 × 633) / 1
LCM(629,633) = 398157 / 1
LCM(629,633) = 398157

Properties of LCM 629 and 633

(i) The LCM of 633 and 629 is associative

LCM of 629 and 633 = LCM of 633 and 629

Frequently Asked Questions on LCM of 629 and 633

1. What is the LCM of 629 and 633?

Answer: LCM of 629 and 633 is 398157.

2. 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.

3. What are the Factors of 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

4. How to Find the LCM of 629 and 633?

Answer:

Least Common Multiple of 629 and 633 = 398157

Step 1: Find the prime factorization of 629

629 = 17 x 37

Step 2: Find the prime factorization of 633

633 = 3 x 211

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

LCM = 398157 = 3 x 17 x 37 x 211

Step 4: Therefore, the least common multiple of 629 and 633 is 398157.