Least Common Multiple of 646 and 650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 646 and 650 the smallest integer that is 209950 that is divisible by both numbers.

Least Common Multiple (LCM) of 646 and 650 is 209950.

LCM(646,650) = 209950

LCM of 646 and 650

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

LCM of:
and

Least Common Multiple of 646 and 650

LCM of 646 and 650 is 209950

Least common multiple can be found by multiplying the highest exponent prime factors of 646 and 650. First we will calculate the prime factors of 646 and 650.

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

Prime Factorization of 650


2 650
5 325
5 65
13 13
1

Prime factors of 650 are 2, 5,13. Prime factorization of 650 in exponential form is:

650 = 21×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 646 and 650.

LCM(646,650) = 21×52×131×171×191
LCM(646,650) = 209950

Factors of 646

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

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

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Least Common Multiple of 646 and 650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 646 and 650, than apply into the LCM equation.

GCF(646,650) = 2
LCM(646,650) = ( 646 × 650) / 2
LCM(646,650) = 419900 / 2
LCM(646,650) = 209950

Properties of LCM 646 and 650

(i) The LCM of 650 and 646 is associative

LCM of 646 and 650 = LCM of 650 and 646

Related Least Common Multiples of 646

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 646 and 650

1. What is the LCM of 646 and 650?

Answer: LCM of 646 and 650 is 209950.

2. 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.

3. What are the Factors of 650?

Answer: Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. There are 12 integers that are factors of 650. The greatest factor of 650 is 650.

4. How to Find the LCM of 646 and 650?

Answer:

Least Common Multiple of 646 and 650 = 209950

Step 1: Find the prime factorization of 646

646 = 2 x 17 x 19

Step 2: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

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

LCM = 209950 = 2 x 5 x 5 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 646 and 650 is 209950.