Least Common Multiple of 634 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 634 and 638 the smallest integer that is 202246 that is divisible by both numbers.

Least Common Multiple (LCM) of 634 and 638 is 202246.

LCM(634,638) = 202246

LCM of 634 and 638

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

LCM of:
and

Least Common Multiple of 634 and 638

LCM of 634 and 638 is 202246

Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 638. First we will calculate the prime factors of 634 and 638.

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

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 634 and 638.

LCM(634,638) = 21×111×291×3171
LCM(634,638) = 202246

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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 634 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 634 and 638, than apply into the LCM equation.

GCF(634,638) = 2
LCM(634,638) = ( 634 × 638) / 2
LCM(634,638) = 404492 / 2
LCM(634,638) = 202246

Properties of LCM 634 and 638

(i) The LCM of 638 and 634 is associative

LCM of 634 and 638 = LCM of 638 and 634

Related Least Common Multiples of 634

Related Least Common Multiples of 638

Frequently Asked Questions on LCM of 634 and 638

1. What is the LCM of 634 and 638?

Answer: LCM of 634 and 638 is 202246.

2. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

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 634 and 638?

Answer:

Least Common Multiple of 634 and 638 = 202246

Step 1: Find the prime factorization of 634

634 = 2 x 317

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 = 202246 = 2 x 11 x 29 x 317

Step 4: Therefore, the least common multiple of 634 and 638 is 202246.