Least Common Multiple of 1643 and 1650

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 1650 the smallest integer that is 2710950 that is divisible by both numbers.

Least Common Multiple (LCM) of 1643 and 1650 is 2710950.

LCM(1643,1650) = 2710950

LCM of 1643 and 1650

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

LCM of:
and

Least Common Multiple of 1643 and 1650

LCM of 1643 and 1650 is 2710950

Least common multiple can be found by multiplying the highest exponent prime factors of 1643 and 1650. First we will calculate the prime factors of 1643 and 1650.

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 1650


2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 1650 are 2, 3, 5,11. Prime factorization of 1650 in exponential form is:

1650 = 21×31×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1643 and 1650.

LCM(1643,1650) = 21×31×52×111×311×531
LCM(1643,1650) = 2710950

Factors of 1643

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

1, 31, 53, 1643

Factors of 1650

List of positive integer factors of 1650 that divides 1650 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650

Least Common Multiple of 1643 and 1650 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 1650, than apply into the LCM equation.

GCF(1643,1650) = 1
LCM(1643,1650) = ( 1643 × 1650) / 1
LCM(1643,1650) = 2710950 / 1
LCM(1643,1650) = 2710950

Properties of LCM 1643 and 1650

(i) The LCM of 1650 and 1643 is associative

LCM of 1643 and 1650 = LCM of 1650 and 1643

Related Least Common Multiples of 1643

Related Least Common Multiples of 1650

Frequently Asked Questions on LCM of 1643 and 1650

1. What is the LCM of 1643 and 1650?

Answer: LCM of 1643 and 1650 is 2710950.

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 1650?

Answer: Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650. There are 24 integers that are factors of 1650. The greatest factor of 1650 is 1650.

4. How to Find the LCM of 1643 and 1650?

Answer:

Least Common Multiple of 1643 and 1650 = 2710950

Step 1: Find the prime factorization of 1643

1643 = 31 x 53

Step 2: Find the prime factorization of 1650

1650 = 2 x 3 x 5 x 5 x 11

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

LCM = 2710950 = 2 x 3 x 5 x 5 x 11 x 31 x 53

Step 4: Therefore, the least common multiple of 1643 and 1650 is 2710950.