Least Common Multiple of 1650 and 1655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1650 and 1655 the smallest integer that is 546150 that is divisible by both numbers.

Least Common Multiple (LCM) of 1650 and 1655 is 546150.

LCM(1650,1655) = 546150

LCM of 1650 and 1655

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

LCM of:
and

Least Common Multiple of 1650 and 1655

LCM of 1650 and 1655 is 546150

Least common multiple can be found by multiplying the highest exponent prime factors of 1650 and 1655. First we will calculate the prime factors of 1650 and 1655.

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

Prime Factorization of 1655


5 1655
331 331
1

Prime factors of 1655 are 5,331. Prime factorization of 1655 in exponential form is:

1655 = 51×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 1650 and 1655.

LCM(1650,1655) = 21×31×52×111×3311
LCM(1650,1655) = 546150

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

Factors of 1655

List of positive integer factors of 1655 that divides 1655 without a remainder.

1, 5, 331, 1655

Least Common Multiple of 1650 and 1655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1650 and 1655, than apply into the LCM equation.

GCF(1650,1655) = 5
LCM(1650,1655) = ( 1650 × 1655) / 5
LCM(1650,1655) = 2730750 / 5
LCM(1650,1655) = 546150

Properties of LCM 1650 and 1655

(i) The LCM of 1655 and 1650 is associative

LCM of 1650 and 1655 = LCM of 1655 and 1650

Related Least Common Multiples of 1650

Related Least Common Multiples of 1655

Frequently Asked Questions on LCM of 1650 and 1655

1. What is the LCM of 1650 and 1655?

Answer: LCM of 1650 and 1655 is 546150.

2. 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.

3. What are the Factors of 1655?

Answer: Factors of 1655 are 1, 5, 331, 1655. There are 4 integers that are factors of 1655. The greatest factor of 1655 is 1655.

4. How to Find the LCM of 1650 and 1655?

Answer:

Least Common Multiple of 1650 and 1655 = 546150

Step 1: Find the prime factorization of 1650

1650 = 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 1655

1655 = 5 x 331

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

LCM = 546150 = 2 x 3 x 5 x 5 x 11 x 331

Step 4: Therefore, the least common multiple of 1650 and 1655 is 546150.