Least Common Multiple of 633 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 633 and 638 the smallest integer that is 403854 that is divisible by both numbers.

Least Common Multiple (LCM) of 633 and 638 is 403854.

LCM(633,638) = 403854

LCM of 633 and 638

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

LCM of:
and

Least Common Multiple of 633 and 638

LCM of 633 and 638 is 403854

Least common multiple can be found by multiplying the highest exponent prime factors of 633 and 638. First we will calculate the prime factors of 633 and 638.

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

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 633 and 638.

LCM(633,638) = 21×31×111×291×2111
LCM(633,638) = 403854

Factors of 633

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

1, 3, 211, 633

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 633 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 633 and 638, than apply into the LCM equation.

GCF(633,638) = 1
LCM(633,638) = ( 633 × 638) / 1
LCM(633,638) = 403854 / 1
LCM(633,638) = 403854

Properties of LCM 633 and 638

(i) The LCM of 638 and 633 is associative

LCM of 633 and 638 = LCM of 638 and 633

Related Least Common Multiples of 633

Related Least Common Multiples of 638

Frequently Asked Questions on LCM of 633 and 638

1. What is the LCM of 633 and 638?

Answer: LCM of 633 and 638 is 403854.

2. 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.

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 633 and 638?

Answer:

Least Common Multiple of 633 and 638 = 403854

Step 1: Find the prime factorization of 633

633 = 3 x 211

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 = 403854 = 2 x 3 x 11 x 29 x 211

Step 4: Therefore, the least common multiple of 633 and 638 is 403854.