Least Common Multiple of 638 and 639

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 639 the smallest integer that is 407682 that is divisible by both numbers.

Least Common Multiple (LCM) of 638 and 639 is 407682.

LCM(638,639) = 407682

LCM of 638 and 639

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

LCM of:
and

Least Common Multiple of 638 and 639

LCM of 638 and 639 is 407682

Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 639. First we will calculate the prime factors of 638 and 639.

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 639


3 639
3 213
71 71
1

Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:

639 = 32×711

Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 639.

LCM(638,639) = 21×32×111×291×711
LCM(638,639) = 407682

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 639

List of positive integer factors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Least Common Multiple of 638 and 639 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 639, than apply into the LCM equation.

GCF(638,639) = 1
LCM(638,639) = ( 638 × 639) / 1
LCM(638,639) = 407682 / 1
LCM(638,639) = 407682

Properties of LCM 638 and 639

(i) The LCM of 639 and 638 is associative

LCM of 638 and 639 = LCM of 639 and 638

Related Least Common Multiples of 638

Related Least Common Multiples of 639

Frequently Asked Questions on LCM of 638 and 639

1. What is the LCM of 638 and 639?

Answer: LCM of 638 and 639 is 407682.

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 639?

Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.

4. How to Find the LCM of 638 and 639?

Answer:

Least Common Multiple of 638 and 639 = 407682

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 639

639 = 3 x 3 x 71

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

LCM = 407682 = 2 x 3 x 3 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 638 and 639 is 407682.