Least Common Multiple of 643 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 643 and 650 the smallest integer that is 417950 that is divisible by both numbers.

Least Common Multiple (LCM) of 643 and 650 is 417950.

LCM(643,650) = 417950

LCM of 643 and 650

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

LCM of:
and

Least Common Multiple of 643 and 650

LCM of 643 and 650 is 417950

Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 650. First we will calculate the prime factors of 643 and 650.

Prime Factorization of 643


643 643
1

Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:

643 = 6431

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 643 and 650.

LCM(643,650) = 21×52×131×6431
LCM(643,650) = 417950

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1, 643

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 643 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 643 and 650, than apply into the LCM equation.

GCF(643,650) = 1
LCM(643,650) = ( 643 × 650) / 1
LCM(643,650) = 417950 / 1
LCM(643,650) = 417950

Properties of LCM 643 and 650

(i) The LCM of 650 and 643 is associative

LCM of 643 and 650 = LCM of 650 and 643

Related Least Common Multiples of 643

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 643 and 650

1. What is the LCM of 643 and 650?

Answer: LCM of 643 and 650 is 417950.

2. What are the Factors of 643?

Answer: Factors of 643 are 1, 643. There are 2 integers that are factors of 643. The greatest factor of 643 is 643.

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 643 and 650?

Answer:

Least Common Multiple of 643 and 650 = 417950

Step 1: Find the prime factorization of 643

643 = 643

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 = 417950 = 2 x 5 x 5 x 13 x 643

Step 4: Therefore, the least common multiple of 643 and 650 is 417950.