Least Common Multiple of 635 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 635 and 638 the smallest integer that is 405130 that is divisible by both numbers.

Least Common Multiple (LCM) of 635 and 638 is 405130.

LCM(635,638) = 405130

LCM of 635 and 638

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

LCM of:
and

Least Common Multiple of 635 and 638

LCM of 635 and 638 is 405130

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 638. First we will calculate the prime factors of 635 and 638.

Prime Factorization of 635


5 635
127 127
1

Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:

635 = 51×1271

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 635 and 638.

LCM(635,638) = 21×51×111×291×1271
LCM(635,638) = 405130

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 635 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 635 and 638, than apply into the LCM equation.

GCF(635,638) = 1
LCM(635,638) = ( 635 × 638) / 1
LCM(635,638) = 405130 / 1
LCM(635,638) = 405130

Properties of LCM 635 and 638

(i) The LCM of 638 and 635 is associative

LCM of 635 and 638 = LCM of 638 and 635

Related Least Common Multiples of 635

Related Least Common Multiples of 638

Frequently Asked Questions on LCM of 635 and 638

1. What is the LCM of 635 and 638?

Answer: LCM of 635 and 638 is 405130.

2. What are the Factors of 635?

Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.

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 635 and 638?

Answer:

Least Common Multiple of 635 and 638 = 405130

Step 1: Find the prime factorization of 635

635 = 5 x 127

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 = 405130 = 2 x 5 x 11 x 29 x 127

Step 4: Therefore, the least common multiple of 635 and 638 is 405130.