Least Common Multiple of 1709 and 1715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1709 and 1715 the smallest integer that is 2930935 that is divisible by both numbers.

Least Common Multiple (LCM) of 1709 and 1715 is 2930935.

LCM(1709,1715) = 2930935

LCM of 1709 and 1715

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

LCM of:
and

Least Common Multiple of 1709 and 1715

LCM of 1709 and 1715 is 2930935

Least common multiple can be found by multiplying the highest exponent prime factors of 1709 and 1715. First we will calculate the prime factors of 1709 and 1715.

Prime Factorization of 1709


1709 1709
1

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

1709 = 17091

Prime Factorization of 1715


5 1715
7 343
7 49
7 7
1

Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:

1715 = 51×73

Now multiplying the highest exponent prime factors to calculate the LCM of 1709 and 1715.

LCM(1709,1715) = 51×73×17091
LCM(1709,1715) = 2930935

Factors of 1709

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

1, 1709

Factors of 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1, 5, 7, 35, 49, 245, 343, 1715

Least Common Multiple of 1709 and 1715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1709 and 1715, than apply into the LCM equation.

GCF(1709,1715) = 1
LCM(1709,1715) = ( 1709 × 1715) / 1
LCM(1709,1715) = 2930935 / 1
LCM(1709,1715) = 2930935

Properties of LCM 1709 and 1715

(i) The LCM of 1715 and 1709 is associative

LCM of 1709 and 1715 = LCM of 1715 and 1709

Related Least Common Multiples of 1709

Related Least Common Multiples of 1715

Frequently Asked Questions on LCM of 1709 and 1715

1. What is the LCM of 1709 and 1715?

Answer: LCM of 1709 and 1715 is 2930935.

2. 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.

3. What are the Factors of 1715?

Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.

4. How to Find the LCM of 1709 and 1715?

Answer:

Least Common Multiple of 1709 and 1715 = 2930935

Step 1: Find the prime factorization of 1709

1709 = 1709

Step 2: Find the prime factorization of 1715

1715 = 5 x 7 x 7 x 7

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

LCM = 2930935 = 5 x 7 x 7 x 7 x 1709

Step 4: Therefore, the least common multiple of 1709 and 1715 is 2930935.