Least Common Multiple of 641 and 644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 641 and 644 the smallest integer that is 412804 that is divisible by both numbers.

Least Common Multiple (LCM) of 641 and 644 is 412804.

LCM(641,644) = 412804

LCM of 641 and 644

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

LCM of:
and

Least Common Multiple of 641 and 644

LCM of 641 and 644 is 412804

Least common multiple can be found by multiplying the highest exponent prime factors of 641 and 644. First we will calculate the prime factors of 641 and 644.

Prime Factorization of 641


641 641
1

Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:

641 = 6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 641 and 644.

LCM(641,644) = 22×71×231×6411
LCM(641,644) = 412804

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1, 641

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

Least Common Multiple of 641 and 644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 641 and 644, than apply into the LCM equation.

GCF(641,644) = 1
LCM(641,644) = ( 641 × 644) / 1
LCM(641,644) = 412804 / 1
LCM(641,644) = 412804

Properties of LCM 641 and 644

(i) The LCM of 644 and 641 is associative

LCM of 641 and 644 = LCM of 644 and 641

Related Least Common Multiples of 641

Related Least Common Multiples of 644

Frequently Asked Questions on LCM of 641 and 644

1. What is the LCM of 641 and 644?

Answer: LCM of 641 and 644 is 412804.

2. What are the Factors of 641?

Answer: Factors of 641 are 1, 641. There are 2 integers that are factors of 641. The greatest factor of 641 is 641.

3. 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.

4. How to Find the LCM of 641 and 644?

Answer:

Least Common Multiple of 641 and 644 = 412804

Step 1: Find the prime factorization of 641

641 = 641

Step 2: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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

LCM = 412804 = 2 x 2 x 7 x 23 x 641

Step 4: Therefore, the least common multiple of 641 and 644 is 412804.