Least Common Multiple of 626 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 626 and 629 the smallest integer that is 393754 that is divisible by both numbers.

Least Common Multiple (LCM) of 626 and 629 is 393754.

LCM(626,629) = 393754

LCM of 626 and 629

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

LCM of:
and

Least Common Multiple of 626 and 629

LCM of 626 and 629 is 393754

Least common multiple can be found by multiplying the highest exponent prime factors of 626 and 629. First we will calculate the prime factors of 626 and 629.

Prime Factorization of 626


2 626
313 313
1

Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:

626 = 21×3131

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 626 and 629.

LCM(626,629) = 21×171×371×3131
LCM(626,629) = 393754

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Factors of 629

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

1, 17, 37, 629

Least Common Multiple of 626 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 626 and 629, than apply into the LCM equation.

GCF(626,629) = 1
LCM(626,629) = ( 626 × 629) / 1
LCM(626,629) = 393754 / 1
LCM(626,629) = 393754

Properties of LCM 626 and 629

(i) The LCM of 629 and 626 is associative

LCM of 626 and 629 = LCM of 629 and 626

Related Least Common Multiples of 626

Related Least Common Multiples of 629

Frequently Asked Questions on LCM of 626 and 629

1. What is the LCM of 626 and 629?

Answer: LCM of 626 and 629 is 393754.

2. What are the Factors of 626?

Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.

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 626 and 629?

Answer:

Least Common Multiple of 626 and 629 = 393754

Step 1: Find the prime factorization of 626

626 = 2 x 313

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 = 393754 = 2 x 17 x 37 x 313

Step 4: Therefore, the least common multiple of 626 and 629 is 393754.