Least Common Multiple of 644 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 644 and 650 the smallest integer that is 209300 that is divisible by both numbers.

Least Common Multiple (LCM) of 644 and 650 is 209300.

LCM(644,650) = 209300

LCM of 644 and 650

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

LCM of:
and

Least Common Multiple of 644 and 650

LCM of 644 and 650 is 209300

Least common multiple can be found by multiplying the highest exponent prime factors of 644 and 650. First we will calculate the prime factors of 644 and 650.

Prime Factorization of 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2, 7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

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 644 and 650.

LCM(644,650) = 22×52×71×131×231
LCM(644,650) = 209300

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 644 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 644 and 650, than apply into the LCM equation.

GCF(644,650) = 2
LCM(644,650) = ( 644 × 650) / 2
LCM(644,650) = 418600 / 2
LCM(644,650) = 209300

Properties of LCM 644 and 650

(i) The LCM of 650 and 644 is associative

LCM of 644 and 650 = LCM of 650 and 644

Related Least Common Multiples of 644

Related Least Common Multiples of 650

Frequently Asked Questions on LCM of 644 and 650

1. What is the LCM of 644 and 650?

Answer: LCM of 644 and 650 is 209300.

2. What are the Factors of 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

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 644 and 650?

Answer:

Least Common Multiple of 644 and 650 = 209300

Step 1: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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 = 209300 = 2 x 2 x 5 x 5 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 644 and 650 is 209300.