Least Common Multiple of 638 and 644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 638 and 644 the smallest integer that is 205436 that is divisible by both numbers.

Least Common Multiple (LCM) of 638 and 644 is 205436.

LCM(638,644) = 205436

LCM of 638 and 644

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

LCM of:
and

Least Common Multiple of 638 and 644

LCM of 638 and 644 is 205436

Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 644. First we will calculate the prime factors of 638 and 644.

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

Prime Factorization of 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2, 7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 644.

LCM(638,644) = 22×71×111×231×291
LCM(638,644) = 205436

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Least Common Multiple of 638 and 644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 638 and 644, than apply into the LCM equation.

GCF(638,644) = 2
LCM(638,644) = ( 638 × 644) / 2
LCM(638,644) = 410872 / 2
LCM(638,644) = 205436

Properties of LCM 638 and 644

(i) The LCM of 644 and 638 is associative

LCM of 638 and 644 = LCM of 644 and 638

Related Least Common Multiples of 638

Related Least Common Multiples of 644

Frequently Asked Questions on LCM of 638 and 644

1. What is the LCM of 638 and 644?

Answer: LCM of 638 and 644 is 205436.

2. 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.

3. What are the Factors of 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

4. How to Find the LCM of 638 and 644?

Answer:

Least Common Multiple of 638 and 644 = 205436

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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

LCM = 205436 = 2 x 2 x 7 x 11 x 23 x 29

Step 4: Therefore, the least common multiple of 638 and 644 is 205436.