Least Common Multiple of 641 and 643

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 643 the smallest integer that is 412163 that is divisible by both numbers.

Least Common Multiple (LCM) of 641 and 643 is 412163.

LCM(641,643) = 412163

LCM of 641 and 643

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

LCM of:
and

Least Common Multiple of 641 and 643

LCM of 641 and 643 is 412163

Least common multiple can be found by multiplying the highest exponent prime factors of 641 and 643. First we will calculate the prime factors of 641 and 643.

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 643


643 643
1

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

643 = 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 641 and 643.

LCM(641,643) = 6411×6431
LCM(641,643) = 412163

Factors of 641

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

1, 641

Factors of 643

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

1, 643

Least Common Multiple of 641 and 643 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 643, than apply into the LCM equation.

GCF(641,643) = 1
LCM(641,643) = ( 641 × 643) / 1
LCM(641,643) = 412163 / 1
LCM(641,643) = 412163

Properties of LCM 641 and 643

(i) The LCM of 643 and 641 is associative

LCM of 641 and 643 = LCM of 643 and 641

Related Least Common Multiples of 641

Related Least Common Multiples of 643

Frequently Asked Questions on LCM of 641 and 643

1. What is the LCM of 641 and 643?

Answer: LCM of 641 and 643 is 412163.

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 643?

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

4. How to Find the LCM of 641 and 643?

Answer:

Least Common Multiple of 641 and 643 = 412163

Step 1: Find the prime factorization of 641

641 = 641

Step 2: Find the prime factorization of 643

643 = 643

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

LCM = 412163 = 641 x 643

Step 4: Therefore, the least common multiple of 641 and 643 is 412163.