Least Common Multiple of 1643 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 1643 and 1648 the smallest integer that is 2707664 that is divisible by both numbers.

Least Common Multiple (LCM) of 1643 and 1648 is 2707664.

LCM(1643,1648) = 2707664

LCM of 1643 and 1648

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

LCM of:
and

Least Common Multiple of 1643 and 1648

LCM of 1643 and 1648 is 2707664

Least common multiple can be found by multiplying the highest exponent prime factors of 1643 and 1648. First we will calculate the prime factors of 1643 and 1648.

Prime Factorization of 1643


31 1643
53 53
1

Prime factors of 1643 are 31,53. Prime factorization of 1643 in exponential form is:

1643 = 311×531

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 1643 and 1648.

LCM(1643,1648) = 24×311×531×1031
LCM(1643,1648) = 2707664

Factors of 1643

List of positive integer factors of 1643 that divides 1643 without a remainder.

1, 31, 53, 1643

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 1643 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 1643 and 1648, than apply into the LCM equation.

GCF(1643,1648) = 1
LCM(1643,1648) = ( 1643 × 1648) / 1
LCM(1643,1648) = 2707664 / 1
LCM(1643,1648) = 2707664

Properties of LCM 1643 and 1648

(i) The LCM of 1648 and 1643 is associative

LCM of 1643 and 1648 = LCM of 1648 and 1643

Related Least Common Multiples of 1643

Related Least Common Multiples of 1648

Frequently Asked Questions on LCM of 1643 and 1648

1. What is the LCM of 1643 and 1648?

Answer: LCM of 1643 and 1648 is 2707664.

2. What are the Factors of 1643?

Answer: Factors of 1643 are 1, 31, 53, 1643. There are 4 integers that are factors of 1643. The greatest factor of 1643 is 1643.

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 1643 and 1648?

Answer:

Least Common Multiple of 1643 and 1648 = 2707664

Step 1: Find the prime factorization of 1643

1643 = 31 x 53

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 = 2707664 = 2 x 2 x 2 x 2 x 31 x 53 x 103

Step 4: Therefore, the least common multiple of 1643 and 1648 is 2707664.