Least Common Multiple of 1641 and 1645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1641 and 1645 the smallest integer that is 2699445 that is divisible by both numbers.

Least Common Multiple (LCM) of 1641 and 1645 is 2699445.

LCM(1641,1645) = 2699445

LCM of 1641 and 1645

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

LCM of:
and

Least Common Multiple of 1641 and 1645

LCM of 1641 and 1645 is 2699445

Least common multiple can be found by multiplying the highest exponent prime factors of 1641 and 1645. First we will calculate the prime factors of 1641 and 1645.

Prime Factorization of 1641


3 1641
547 547
1

Prime factors of 1641 are 3,547. Prime factorization of 1641 in exponential form is:

1641 = 31×5471

Prime Factorization of 1645


5 1645
7 329
47 47
1

Prime factors of 1645 are 5, 7,47. Prime factorization of 1645 in exponential form is:

1645 = 51×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1641 and 1645.

LCM(1641,1645) = 31×51×71×471×5471
LCM(1641,1645) = 2699445

Factors of 1641

List of positive integer factors of 1641 that divides 1641 without a remainder.

1, 3, 547, 1641

Factors of 1645

List of positive integer factors of 1645 that divides 1645 without a remainder.

1, 5, 7, 35, 47, 235, 329, 1645

Least Common Multiple of 1641 and 1645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1641 and 1645, than apply into the LCM equation.

GCF(1641,1645) = 1
LCM(1641,1645) = ( 1641 × 1645) / 1
LCM(1641,1645) = 2699445 / 1
LCM(1641,1645) = 2699445

Properties of LCM 1641 and 1645

(i) The LCM of 1645 and 1641 is associative

LCM of 1641 and 1645 = LCM of 1645 and 1641

Related Least Common Multiples of 1641

Related Least Common Multiples of 1645

Frequently Asked Questions on LCM of 1641 and 1645

1. What is the LCM of 1641 and 1645?

Answer: LCM of 1641 and 1645 is 2699445.

2. What are the Factors of 1641?

Answer: Factors of 1641 are 1, 3, 547, 1641. There are 4 integers that are factors of 1641. The greatest factor of 1641 is 1641.

3. What are the Factors of 1645?

Answer: Factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645. There are 8 integers that are factors of 1645. The greatest factor of 1645 is 1645.

4. How to Find the LCM of 1641 and 1645?

Answer:

Least Common Multiple of 1641 and 1645 = 2699445

Step 1: Find the prime factorization of 1641

1641 = 3 x 547

Step 2: Find the prime factorization of 1645

1645 = 5 x 7 x 47

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

LCM = 2699445 = 3 x 5 x 7 x 47 x 547

Step 4: Therefore, the least common multiple of 1641 and 1645 is 2699445.