Least Common Multiple of 638 and 646

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 646 the smallest integer that is 206074 that is divisible by both numbers.

Least Common Multiple (LCM) of 638 and 646 is 206074.

LCM(638,646) = 206074

LCM of 638 and 646

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

LCM of:
and

Least Common Multiple of 638 and 646

LCM of 638 and 646 is 206074

Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 646. First we will calculate the prime factors of 638 and 646.

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 646


2 646
17 323
19 19
1

Prime factors of 646 are 2, 17,19. Prime factorization of 646 in exponential form is:

646 = 21×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 646.

LCM(638,646) = 21×111×171×191×291
LCM(638,646) = 206074

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 646

List of positive integer factors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Least Common Multiple of 638 and 646 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 646, than apply into the LCM equation.

GCF(638,646) = 2
LCM(638,646) = ( 638 × 646) / 2
LCM(638,646) = 412148 / 2
LCM(638,646) = 206074

Properties of LCM 638 and 646

(i) The LCM of 646 and 638 is associative

LCM of 638 and 646 = LCM of 646 and 638

Related Least Common Multiples of 638

Related Least Common Multiples of 646

Frequently Asked Questions on LCM of 638 and 646

1. What is the LCM of 638 and 646?

Answer: LCM of 638 and 646 is 206074.

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 646?

Answer: Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. There are 8 integers that are factors of 646. The greatest factor of 646 is 646.

4. How to Find the LCM of 638 and 646?

Answer:

Least Common Multiple of 638 and 646 = 206074

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

Step 2: Find the prime factorization of 646

646 = 2 x 17 x 19

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

LCM = 206074 = 2 x 11 x 17 x 19 x 29

Step 4: Therefore, the least common multiple of 638 and 646 is 206074.