Least Common Multiple of 1641 and 1648

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 1648 the smallest integer that is 2704368 that is divisible by both numbers.

Least Common Multiple (LCM) of 1641 and 1648 is 2704368.

LCM(1641,1648) = 2704368

LCM of 1641 and 1648

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

LCM of:
and

Least Common Multiple of 1641 and 1648

LCM of 1641 and 1648 is 2704368

Least common multiple can be found by multiplying the highest exponent prime factors of 1641 and 1648. First we will calculate the prime factors of 1641 and 1648.

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 1648


2 1648
2 824
2 412
2 206
103 103
1

Prime factors of 1648 are 2,103. Prime factorization of 1648 in exponential form is:

1648 = 24×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1641 and 1648.

LCM(1641,1648) = 24×31×1031×5471
LCM(1641,1648) = 2704368

Factors of 1641

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

1, 3, 547, 1641

Factors of 1648

List of positive integer factors of 1648 that divides 1648 without a remainder.

1, 2, 4, 8, 16, 103, 206, 412, 824, 1648

Least Common Multiple of 1641 and 1648 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 1648, than apply into the LCM equation.

GCF(1641,1648) = 1
LCM(1641,1648) = ( 1641 × 1648) / 1
LCM(1641,1648) = 2704368 / 1
LCM(1641,1648) = 2704368

Properties of LCM 1641 and 1648

(i) The LCM of 1648 and 1641 is associative

LCM of 1641 and 1648 = LCM of 1648 and 1641

Related Least Common Multiples of 1641

Related Least Common Multiples of 1648

Frequently Asked Questions on LCM of 1641 and 1648

1. What is the LCM of 1641 and 1648?

Answer: LCM of 1641 and 1648 is 2704368.

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 1648?

Answer: Factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648. There are 10 integers that are factors of 1648. The greatest factor of 1648 is 1648.

4. How to Find the LCM of 1641 and 1648?

Answer:

Least Common Multiple of 1641 and 1648 = 2704368

Step 1: Find the prime factorization of 1641

1641 = 3 x 547

Step 2: Find the prime factorization of 1648

1648 = 2 x 2 x 2 x 2 x 103

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

LCM = 2704368 = 2 x 2 x 2 x 2 x 3 x 103 x 547

Step 4: Therefore, the least common multiple of 1641 and 1648 is 2704368.