Least Common Multiple of 643 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 643 and 644 the smallest integer that is 414092 that is divisible by both numbers.

Least Common Multiple (LCM) of 643 and 644 is 414092.

LCM(643,644) = 414092

LCM of 643 and 644

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

LCM of:
and

Least Common Multiple of 643 and 644

LCM of 643 and 644 is 414092

Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 644. First we will calculate the prime factors of 643 and 644.

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 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 643 and 644.

LCM(643,644) = 22×71×231×6431
LCM(643,644) = 414092

Factors of 643

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

1, 643

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 643 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 643 and 644, than apply into the LCM equation.

GCF(643,644) = 1
LCM(643,644) = ( 643 × 644) / 1
LCM(643,644) = 414092 / 1
LCM(643,644) = 414092

Properties of LCM 643 and 644

(i) The LCM of 644 and 643 is associative

LCM of 643 and 644 = LCM of 644 and 643

Related Least Common Multiples of 643

Related Least Common Multiples of 644

Frequently Asked Questions on LCM of 643 and 644

1. What is the LCM of 643 and 644?

Answer: LCM of 643 and 644 is 414092.

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 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 643 and 644?

Answer:

Least Common Multiple of 643 and 644 = 414092

Step 1: Find the prime factorization of 643

643 = 643

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 = 414092 = 2 x 2 x 7 x 23 x 643

Step 4: Therefore, the least common multiple of 643 and 644 is 414092.