Least Common Multiple of 1643 and 1649

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 1649 the smallest integer that is 2709307 that is divisible by both numbers.

Least Common Multiple (LCM) of 1643 and 1649 is 2709307.

LCM(1643,1649) = 2709307

LCM of 1643 and 1649

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

LCM of:
and

Least Common Multiple of 1643 and 1649

LCM of 1643 and 1649 is 2709307

Least common multiple can be found by multiplying the highest exponent prime factors of 1643 and 1649. First we will calculate the prime factors of 1643 and 1649.

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 1649


17 1649
97 97
1

Prime factors of 1649 are 17,97. Prime factorization of 1649 in exponential form is:

1649 = 171×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1643 and 1649.

LCM(1643,1649) = 171×311×531×971
LCM(1643,1649) = 2709307

Factors of 1643

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

1, 31, 53, 1643

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1, 17, 97, 1649

Least Common Multiple of 1643 and 1649 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 1649, than apply into the LCM equation.

GCF(1643,1649) = 1
LCM(1643,1649) = ( 1643 × 1649) / 1
LCM(1643,1649) = 2709307 / 1
LCM(1643,1649) = 2709307

Properties of LCM 1643 and 1649

(i) The LCM of 1649 and 1643 is associative

LCM of 1643 and 1649 = LCM of 1649 and 1643

Related Least Common Multiples of 1643

Related Least Common Multiples of 1649

Frequently Asked Questions on LCM of 1643 and 1649

1. What is the LCM of 1643 and 1649?

Answer: LCM of 1643 and 1649 is 2709307.

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 1649?

Answer: Factors of 1649 are 1, 17, 97, 1649. There are 4 integers that are factors of 1649. The greatest factor of 1649 is 1649.

4. How to Find the LCM of 1643 and 1649?

Answer:

Least Common Multiple of 1643 and 1649 = 2709307

Step 1: Find the prime factorization of 1643

1643 = 31 x 53

Step 2: Find the prime factorization of 1649

1649 = 17 x 97

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

LCM = 2709307 = 17 x 31 x 53 x 97

Step 4: Therefore, the least common multiple of 1643 and 1649 is 2709307.