Least Common Multiple of 638 and 642

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 642 the smallest integer that is 204798 that is divisible by both numbers.

Least Common Multiple (LCM) of 638 and 642 is 204798.

LCM(638,642) = 204798

LCM of 638 and 642

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

LCM of:
and

Least Common Multiple of 638 and 642

LCM of 638 and 642 is 204798

Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 642. First we will calculate the prime factors of 638 and 642.

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 642


2 642
3 321
107 107
1

Prime factors of 642 are 2, 3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 642.

LCM(638,642) = 21×31×111×291×1071
LCM(638,642) = 204798

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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Least Common Multiple of 638 and 642 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 642, than apply into the LCM equation.

GCF(638,642) = 2
LCM(638,642) = ( 638 × 642) / 2
LCM(638,642) = 409596 / 2
LCM(638,642) = 204798

Properties of LCM 638 and 642

(i) The LCM of 642 and 638 is associative

LCM of 638 and 642 = LCM of 642 and 638

Related Least Common Multiples of 638

Related Least Common Multiples of 642

Frequently Asked Questions on LCM of 638 and 642

1. What is the LCM of 638 and 642?

Answer: LCM of 638 and 642 is 204798.

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 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

4. How to Find the LCM of 638 and 642?

Answer:

Least Common Multiple of 638 and 642 = 204798

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 642

642 = 2 x 3 x 107

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

LCM = 204798 = 2 x 3 x 11 x 29 x 107

Step 4: Therefore, the least common multiple of 638 and 642 is 204798.