Least Common Multiple of 641 and 645

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 645 the smallest integer that is 413445 that is divisible by both numbers.

Least Common Multiple (LCM) of 641 and 645 is 413445.

LCM(641,645) = 413445

LCM of 641 and 645

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

LCM of:
and

Least Common Multiple of 641 and 645

LCM of 641 and 645 is 413445

Least common multiple can be found by multiplying the highest exponent prime factors of 641 and 645. First we will calculate the prime factors of 641 and 645.

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 645


3 645
5 215
43 43
1

Prime factors of 645 are 3, 5,43. Prime factorization of 645 in exponential form is:

645 = 31×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 641 and 645.

LCM(641,645) = 31×51×431×6411
LCM(641,645) = 413445

Factors of 641

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

1, 641

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Least Common Multiple of 641 and 645 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 645, than apply into the LCM equation.

GCF(641,645) = 1
LCM(641,645) = ( 641 × 645) / 1
LCM(641,645) = 413445 / 1
LCM(641,645) = 413445

Properties of LCM 641 and 645

(i) The LCM of 645 and 641 is associative

LCM of 641 and 645 = LCM of 645 and 641

Related Least Common Multiples of 641

Related Least Common Multiples of 645

Frequently Asked Questions on LCM of 641 and 645

1. What is the LCM of 641 and 645?

Answer: LCM of 641 and 645 is 413445.

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 645?

Answer: Factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645. There are 8 integers that are factors of 645. The greatest factor of 645 is 645.

4. How to Find the LCM of 641 and 645?

Answer:

Least Common Multiple of 641 and 645 = 413445

Step 1: Find the prime factorization of 641

641 = 641

Step 2: Find the prime factorization of 645

645 = 3 x 5 x 43

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

LCM = 413445 = 3 x 5 x 43 x 641

Step 4: Therefore, the least common multiple of 641 and 645 is 413445.