Least Common Multiple of 631 and 639

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 639 the smallest integer that is 403209 that is divisible by both numbers.

Least Common Multiple (LCM) of 631 and 639 is 403209.

LCM(631,639) = 403209

LCM of 631 and 639

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

LCM of:
and

Least Common Multiple of 631 and 639

LCM of 631 and 639 is 403209

Least common multiple can be found by multiplying the highest exponent prime factors of 631 and 639. First we will calculate the prime factors of 631 and 639.

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 639


3 639
3 213
71 71
1

Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:

639 = 32×711

Now multiplying the highest exponent prime factors to calculate the LCM of 631 and 639.

LCM(631,639) = 32×711×6311
LCM(631,639) = 403209

Factors of 631

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

1, 631

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Least Common Multiple of 631 and 639 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 639, than apply into the LCM equation.

GCF(631,639) = 1
LCM(631,639) = ( 631 × 639) / 1
LCM(631,639) = 403209 / 1
LCM(631,639) = 403209

Properties of LCM 631 and 639

(i) The LCM of 639 and 631 is associative

LCM of 631 and 639 = LCM of 639 and 631

Related Least Common Multiples of 631

Related Least Common Multiples of 639

Frequently Asked Questions on LCM of 631 and 639

1. What is the LCM of 631 and 639?

Answer: LCM of 631 and 639 is 403209.

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 639?

Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.

4. How to Find the LCM of 631 and 639?

Answer:

Least Common Multiple of 631 and 639 = 403209

Step 1: Find the prime factorization of 631

631 = 631

Step 2: Find the prime factorization of 639

639 = 3 x 3 x 71

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

LCM = 403209 = 3 x 3 x 71 x 631

Step 4: Therefore, the least common multiple of 631 and 639 is 403209.