Least Common Multiple of 1701 and 1709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1701 and 1709 the smallest integer that is 2907009 that is divisible by both numbers.

Least Common Multiple (LCM) of 1701 and 1709 is 2907009.

LCM(1701,1709) = 2907009

LCM of 1701 and 1709

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

LCM of:
and

Least Common Multiple of 1701 and 1709

LCM of 1701 and 1709 is 2907009

Least common multiple can be found by multiplying the highest exponent prime factors of 1701 and 1709. First we will calculate the prime factors of 1701 and 1709.

Prime Factorization of 1701


3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1701 are 3,7. Prime factorization of 1701 in exponential form is:

1701 = 35×71

Prime Factorization of 1709


1709 1709
1

Prime factors of 1709 are 1709. Prime factorization of 1709 in exponential form is:

1709 = 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 1701 and 1709.

LCM(1701,1709) = 35×71×17091
LCM(1701,1709) = 2907009

Factors of 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701

Factors of 1709

List of positive integer factors of 1709 that divides 1709 without a remainder.

1, 1709

Least Common Multiple of 1701 and 1709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1701 and 1709, than apply into the LCM equation.

GCF(1701,1709) = 1
LCM(1701,1709) = ( 1701 × 1709) / 1
LCM(1701,1709) = 2907009 / 1
LCM(1701,1709) = 2907009

Properties of LCM 1701 and 1709

(i) The LCM of 1709 and 1701 is associative

LCM of 1701 and 1709 = LCM of 1709 and 1701

Related Least Common Multiples of 1701

Related Least Common Multiples of 1709

Frequently Asked Questions on LCM of 1701 and 1709

1. What is the LCM of 1701 and 1709?

Answer: LCM of 1701 and 1709 is 2907009.

2. What are the Factors of 1701?

Answer: Factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701. There are 12 integers that are factors of 1701. The greatest factor of 1701 is 1701.

3. What are the Factors of 1709?

Answer: Factors of 1709 are 1, 1709. There are 2 integers that are factors of 1709. The greatest factor of 1709 is 1709.

4. How to Find the LCM of 1701 and 1709?

Answer:

Least Common Multiple of 1701 and 1709 = 2907009

Step 1: Find the prime factorization of 1701

1701 = 3 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 1709

1709 = 1709

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

LCM = 2907009 = 3 x 3 x 3 x 3 x 3 x 7 x 1709

Step 4: Therefore, the least common multiple of 1701 and 1709 is 2907009.