Least Common Multiple of 628 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 628 and 629 the smallest integer that is 395012 that is divisible by both numbers.

Least Common Multiple (LCM) of 628 and 629 is 395012.

LCM(628,629) = 395012

LCM of 628 and 629

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

LCM of:
and

Least Common Multiple of 628 and 629

LCM of 628 and 629 is 395012

Least common multiple can be found by multiplying the highest exponent prime factors of 628 and 629. First we will calculate the prime factors of 628 and 629.

Prime Factorization of 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

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 628 and 629.

LCM(628,629) = 22×171×371×1571
LCM(628,629) = 395012

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Factors of 629

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

1, 17, 37, 629

Least Common Multiple of 628 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 628 and 629, than apply into the LCM equation.

GCF(628,629) = 1
LCM(628,629) = ( 628 × 629) / 1
LCM(628,629) = 395012 / 1
LCM(628,629) = 395012

Properties of LCM 628 and 629

(i) The LCM of 629 and 628 is associative

LCM of 628 and 629 = LCM of 629 and 628

Related Least Common Multiples of 628

Related Least Common Multiples of 629

Frequently Asked Questions on LCM of 628 and 629

1. What is the LCM of 628 and 629?

Answer: LCM of 628 and 629 is 395012.

2. What are the Factors of 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

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 628 and 629?

Answer:

Least Common Multiple of 628 and 629 = 395012

Step 1: Find the prime factorization of 628

628 = 2 x 2 x 157

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 = 395012 = 2 x 2 x 17 x 37 x 157

Step 4: Therefore, the least common multiple of 628 and 629 is 395012.