Least Common Multiple of 1641 and 1646

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 1646 the smallest integer that is 2701086 that is divisible by both numbers.

Least Common Multiple (LCM) of 1641 and 1646 is 2701086.

LCM(1641,1646) = 2701086

LCM of 1641 and 1646

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

LCM of:
and

Least Common Multiple of 1641 and 1646

LCM of 1641 and 1646 is 2701086

Least common multiple can be found by multiplying the highest exponent prime factors of 1641 and 1646. First we will calculate the prime factors of 1641 and 1646.

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 1646


2 1646
823 823
1

Prime factors of 1646 are 2,823. Prime factorization of 1646 in exponential form is:

1646 = 21×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 1641 and 1646.

LCM(1641,1646) = 21×31×5471×8231
LCM(1641,1646) = 2701086

Factors of 1641

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

1, 3, 547, 1641

Factors of 1646

List of positive integer factors of 1646 that divides 1646 without a remainder.

1, 2, 823, 1646

Least Common Multiple of 1641 and 1646 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 1646, than apply into the LCM equation.

GCF(1641,1646) = 1
LCM(1641,1646) = ( 1641 × 1646) / 1
LCM(1641,1646) = 2701086 / 1
LCM(1641,1646) = 2701086

Properties of LCM 1641 and 1646

(i) The LCM of 1646 and 1641 is associative

LCM of 1641 and 1646 = LCM of 1646 and 1641

Related Least Common Multiples of 1641

Related Least Common Multiples of 1646

Frequently Asked Questions on LCM of 1641 and 1646

1. What is the LCM of 1641 and 1646?

Answer: LCM of 1641 and 1646 is 2701086.

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 1646?

Answer: Factors of 1646 are 1, 2, 823, 1646. There are 4 integers that are factors of 1646. The greatest factor of 1646 is 1646.

4. How to Find the LCM of 1641 and 1646?

Answer:

Least Common Multiple of 1641 and 1646 = 2701086

Step 1: Find the prime factorization of 1641

1641 = 3 x 547

Step 2: Find the prime factorization of 1646

1646 = 2 x 823

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

LCM = 2701086 = 2 x 3 x 547 x 823

Step 4: Therefore, the least common multiple of 1641 and 1646 is 2701086.