Least Common Multiple of 631 and 633

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 633 the smallest integer that is 399423 that is divisible by both numbers.

Least Common Multiple (LCM) of 631 and 633 is 399423.

LCM(631,633) = 399423

LCM of 631 and 633

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

LCM of:
and

Least Common Multiple of 631 and 633

LCM of 631 and 633 is 399423

Least common multiple can be found by multiplying the highest exponent prime factors of 631 and 633. First we will calculate the prime factors of 631 and 633.

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 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 631 and 633.

LCM(631,633) = 31×2111×6311
LCM(631,633) = 399423

Factors of 631

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

1, 631

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Least Common Multiple of 631 and 633 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 633, than apply into the LCM equation.

GCF(631,633) = 1
LCM(631,633) = ( 631 × 633) / 1
LCM(631,633) = 399423 / 1
LCM(631,633) = 399423

Properties of LCM 631 and 633

(i) The LCM of 633 and 631 is associative

LCM of 631 and 633 = LCM of 633 and 631

Related Least Common Multiples of 631

Related Least Common Multiples of 633

Frequently Asked Questions on LCM of 631 and 633

1. What is the LCM of 631 and 633?

Answer: LCM of 631 and 633 is 399423.

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 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

4. How to Find the LCM of 631 and 633?

Answer:

Least Common Multiple of 631 and 633 = 399423

Step 1: Find the prime factorization of 631

631 = 631

Step 2: Find the prime factorization of 633

633 = 3 x 211

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

LCM = 399423 = 3 x 211 x 631

Step 4: Therefore, the least common multiple of 631 and 633 is 399423.