Least Common Multiple of 1675 and 1683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1675 and 1683 the smallest integer that is 2819025 that is divisible by both numbers.

Least Common Multiple (LCM) of 1675 and 1683 is 2819025.

LCM(1675,1683) = 2819025

LCM of 1675 and 1683

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

LCM of:
and

Least Common Multiple of 1675 and 1683

LCM of 1675 and 1683 is 2819025

Least common multiple can be found by multiplying the highest exponent prime factors of 1675 and 1683. First we will calculate the prime factors of 1675 and 1683.

Prime Factorization of 1675


5 1675
5 335
67 67
1

Prime factors of 1675 are 5,67. Prime factorization of 1675 in exponential form is:

1675 = 52×671

Prime Factorization of 1683


3 1683
3 561
11 187
17 17
1

Prime factors of 1683 are 3, 11,17. Prime factorization of 1683 in exponential form is:

1683 = 32×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1675 and 1683.

LCM(1675,1683) = 32×52×111×171×671
LCM(1675,1683) = 2819025

Factors of 1675

List of positive integer factors of 1675 that divides 1675 without a remainder.

1, 5, 25, 67, 335, 1675

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683

Least Common Multiple of 1675 and 1683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1675 and 1683, than apply into the LCM equation.

GCF(1675,1683) = 1
LCM(1675,1683) = ( 1675 × 1683) / 1
LCM(1675,1683) = 2819025 / 1
LCM(1675,1683) = 2819025

Properties of LCM 1675 and 1683

(i) The LCM of 1683 and 1675 is associative

LCM of 1675 and 1683 = LCM of 1683 and 1675

Related Least Common Multiples of 1675

Related Least Common Multiples of 1683

Frequently Asked Questions on LCM of 1675 and 1683

1. What is the LCM of 1675 and 1683?

Answer: LCM of 1675 and 1683 is 2819025.

2. What are the Factors of 1675?

Answer: Factors of 1675 are 1, 5, 25, 67, 335, 1675. There are 6 integers that are factors of 1675. The greatest factor of 1675 is 1675.

3. What are the Factors of 1683?

Answer: Factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683. There are 12 integers that are factors of 1683. The greatest factor of 1683 is 1683.

4. How to Find the LCM of 1675 and 1683?

Answer:

Least Common Multiple of 1675 and 1683 = 2819025

Step 1: Find the prime factorization of 1675

1675 = 5 x 5 x 67

Step 2: Find the prime factorization of 1683

1683 = 3 x 3 x 11 x 17

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

LCM = 2819025 = 3 x 3 x 5 x 5 x 11 x 17 x 67

Step 4: Therefore, the least common multiple of 1675 and 1683 is 2819025.