Least Common Multiple of 630 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 630 and 631 the smallest integer that is 397530 that is divisible by both numbers.

Least Common Multiple (LCM) of 630 and 631 is 397530.

LCM(630,631) = 397530

LCM of 630 and 631

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

LCM of:
and

Least Common Multiple of 630 and 631

LCM of 630 and 631 is 397530

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 631. First we will calculate the prime factors of 630 and 631.

Prime Factorization of 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

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 630 and 631.

LCM(630,631) = 21×32×51×71×6311
LCM(630,631) = 397530

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Factors of 631

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

1, 631

Least Common Multiple of 630 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 630 and 631, than apply into the LCM equation.

GCF(630,631) = 1
LCM(630,631) = ( 630 × 631) / 1
LCM(630,631) = 397530 / 1
LCM(630,631) = 397530

Properties of LCM 630 and 631

(i) The LCM of 631 and 630 is associative

LCM of 630 and 631 = LCM of 631 and 630

Related Least Common Multiples of 630

Related Least Common Multiples of 631

Frequently Asked Questions on LCM of 630 and 631

1. What is the LCM of 630 and 631?

Answer: LCM of 630 and 631 is 397530.

2. What are the Factors of 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

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 630 and 631?

Answer:

Least Common Multiple of 630 and 631 = 397530

Step 1: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

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 = 397530 = 2 x 3 x 3 x 5 x 7 x 631

Step 4: Therefore, the least common multiple of 630 and 631 is 397530.