Least Common Multiple of 639 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 639 and 646 the smallest integer that is 412794 that is divisible by both numbers.

Least Common Multiple (LCM) of 639 and 646 is 412794.

LCM(639,646) = 412794

LCM of 639 and 646

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

LCM of:
and

Least Common Multiple of 639 and 646

LCM of 639 and 646 is 412794

Least common multiple can be found by multiplying the highest exponent prime factors of 639 and 646. First we will calculate the prime factors of 639 and 646.

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

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 639 and 646.

LCM(639,646) = 21×32×171×191×711
LCM(639,646) = 412794

Factors of 639

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

1, 3, 9, 71, 213, 639

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 639 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 639 and 646, than apply into the LCM equation.

GCF(639,646) = 1
LCM(639,646) = ( 639 × 646) / 1
LCM(639,646) = 412794 / 1
LCM(639,646) = 412794

Properties of LCM 639 and 646

(i) The LCM of 646 and 639 is associative

LCM of 639 and 646 = LCM of 646 and 639

Related Least Common Multiples of 639

Related Least Common Multiples of 646

Frequently Asked Questions on LCM of 639 and 646

1. What is the LCM of 639 and 646?

Answer: LCM of 639 and 646 is 412794.

2. 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.

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 639 and 646?

Answer:

Least Common Multiple of 639 and 646 = 412794

Step 1: Find the prime factorization of 639

639 = 3 x 3 x 71

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 = 412794 = 2 x 3 x 3 x 17 x 19 x 71

Step 4: Therefore, the least common multiple of 639 and 646 is 412794.