Least Common Multiple of 626 and 631

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 631 the smallest integer that is 395006 that is divisible by both numbers.

Least Common Multiple (LCM) of 626 and 631 is 395006.

LCM(626,631) = 395006

LCM of 626 and 631

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

LCM of:
and

Least Common Multiple of 626 and 631

LCM of 626 and 631 is 395006

Least common multiple can be found by multiplying the highest exponent prime factors of 626 and 631. First we will calculate the prime factors of 626 and 631.

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 631


631 631
1

Prime factors of 631 are 631. Prime factorization of 631 in exponential form is:

631 = 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 626 and 631.

LCM(626,631) = 21×3131×6311
LCM(626,631) = 395006

Factors of 626

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

1, 2, 313, 626

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1, 631

Least Common Multiple of 626 and 631 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 631, than apply into the LCM equation.

GCF(626,631) = 1
LCM(626,631) = ( 626 × 631) / 1
LCM(626,631) = 395006 / 1
LCM(626,631) = 395006

Properties of LCM 626 and 631

(i) The LCM of 631 and 626 is associative

LCM of 626 and 631 = LCM of 631 and 626

Related Least Common Multiples of 626

Related Least Common Multiples of 631

Frequently Asked Questions on LCM of 626 and 631

1. What is the LCM of 626 and 631?

Answer: LCM of 626 and 631 is 395006.

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 631?

Answer: Factors of 631 are 1, 631. There are 2 integers that are factors of 631. The greatest factor of 631 is 631.

4. How to Find the LCM of 626 and 631?

Answer:

Least Common Multiple of 626 and 631 = 395006

Step 1: Find the prime factorization of 626

626 = 2 x 313

Step 2: Find the prime factorization of 631

631 = 631

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

LCM = 395006 = 2 x 313 x 631

Step 4: Therefore, the least common multiple of 626 and 631 is 395006.