Least Common Multiple of 642 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 642 and 646 the smallest integer that is 207366 that is divisible by both numbers.

Least Common Multiple (LCM) of 642 and 646 is 207366.

LCM(642,646) = 207366

LCM of 642 and 646

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

LCM of:
and

Least Common Multiple of 642 and 646

LCM of 642 and 646 is 207366

Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 646. First we will calculate the prime factors of 642 and 646.

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

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 642 and 646.

LCM(642,646) = 21×31×171×191×1071
LCM(642,646) = 207366

Factors of 642

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

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

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 642 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 642 and 646, than apply into the LCM equation.

GCF(642,646) = 2
LCM(642,646) = ( 642 × 646) / 2
LCM(642,646) = 414732 / 2
LCM(642,646) = 207366

Properties of LCM 642 and 646

(i) The LCM of 646 and 642 is associative

LCM of 642 and 646 = LCM of 646 and 642

Related Least Common Multiples of 642

Related Least Common Multiples of 646

Frequently Asked Questions on LCM of 642 and 646

1. What is the LCM of 642 and 646?

Answer: LCM of 642 and 646 is 207366.

2. 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.

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 642 and 646?

Answer:

Least Common Multiple of 642 and 646 = 207366

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

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 = 207366 = 2 x 3 x 17 x 19 x 107

Step 4: Therefore, the least common multiple of 642 and 646 is 207366.