Least Common Multiple of 631 and 638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 631 and 638 the smallest integer that is 402578 that is divisible by both numbers.

Least Common Multiple (LCM) of 631 and 638 is 402578.

LCM(631,638) = 402578

LCM of 631 and 638

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

LCM of:
and

Least Common Multiple of 631 and 638

LCM of 631 and 638 is 402578

Least common multiple can be found by multiplying the highest exponent prime factors of 631 and 638. First we will calculate the prime factors of 631 and 638.

Prime Factorization of 631


631 631
1

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

631 = 6311

Prime Factorization of 638


2 638
11 319
29 29
1

Prime factors of 638 are 2, 11,29. Prime factorization of 638 in exponential form is:

638 = 21×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 631 and 638.

LCM(631,638) = 21×111×291×6311
LCM(631,638) = 402578

Factors of 631

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

1, 631

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Least Common Multiple of 631 and 638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 631 and 638, than apply into the LCM equation.

GCF(631,638) = 1
LCM(631,638) = ( 631 × 638) / 1
LCM(631,638) = 402578 / 1
LCM(631,638) = 402578

Properties of LCM 631 and 638

(i) The LCM of 638 and 631 is associative

LCM of 631 and 638 = LCM of 638 and 631

Related Least Common Multiples of 631

Related Least Common Multiples of 638

Frequently Asked Questions on LCM of 631 and 638

1. What is the LCM of 631 and 638?

Answer: LCM of 631 and 638 is 402578.

2. 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.

3. What are the Factors of 638?

Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.

4. How to Find the LCM of 631 and 638?

Answer:

Least Common Multiple of 631 and 638 = 402578

Step 1: Find the prime factorization of 631

631 = 631

Step 2: Find the prime factorization of 638

638 = 2 x 11 x 29

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

LCM = 402578 = 2 x 11 x 29 x 631

Step 4: Therefore, the least common multiple of 631 and 638 is 402578.