Least Common Multiple of 632 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 632 and 638 the smallest integer that is 201608 that is divisible by both numbers.

Least Common Multiple (LCM) of 632 and 638 is 201608.

LCM(632,638) = 201608

LCM of 632 and 638

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

LCM of:
and

Least Common Multiple of 632 and 638

LCM of 632 and 638 is 201608

Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 638. First we will calculate the prime factors of 632 and 638.

Prime Factorization of 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

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 632 and 638.

LCM(632,638) = 23×111×291×791
LCM(632,638) = 201608

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 632 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 632 and 638, than apply into the LCM equation.

GCF(632,638) = 2
LCM(632,638) = ( 632 × 638) / 2
LCM(632,638) = 403216 / 2
LCM(632,638) = 201608

Properties of LCM 632 and 638

(i) The LCM of 638 and 632 is associative

LCM of 632 and 638 = LCM of 638 and 632

Related Least Common Multiples of 632

Related Least Common Multiples of 638

Frequently Asked Questions on LCM of 632 and 638

1. What is the LCM of 632 and 638?

Answer: LCM of 632 and 638 is 201608.

2. What are the Factors of 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

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 632 and 638?

Answer:

Least Common Multiple of 632 and 638 = 201608

Step 1: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

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 = 201608 = 2 x 2 x 2 x 11 x 29 x 79

Step 4: Therefore, the least common multiple of 632 and 638 is 201608.