Least Common Multiple of 1709 and 1714

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 1714 the smallest integer that is 2929226 that is divisible by both numbers.

Least Common Multiple (LCM) of 1709 and 1714 is 2929226.

LCM(1709,1714) = 2929226

LCM of 1709 and 1714

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

LCM of:
and

Least Common Multiple of 1709 and 1714

LCM of 1709 and 1714 is 2929226

Least common multiple can be found by multiplying the highest exponent prime factors of 1709 and 1714. First we will calculate the prime factors of 1709 and 1714.

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 1714


2 1714
857 857
1

Prime factors of 1714 are 2,857. Prime factorization of 1714 in exponential form is:

1714 = 21×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 1709 and 1714.

LCM(1709,1714) = 21×8571×17091
LCM(1709,1714) = 2929226

Factors of 1709

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

1, 1709

Factors of 1714

List of positive integer factors of 1714 that divides 1714 without a remainder.

1, 2, 857, 1714

Least Common Multiple of 1709 and 1714 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 1714, than apply into the LCM equation.

GCF(1709,1714) = 1
LCM(1709,1714) = ( 1709 × 1714) / 1
LCM(1709,1714) = 2929226 / 1
LCM(1709,1714) = 2929226

Properties of LCM 1709 and 1714

(i) The LCM of 1714 and 1709 is associative

LCM of 1709 and 1714 = LCM of 1714 and 1709

Related Least Common Multiples of 1709

Related Least Common Multiples of 1714

Frequently Asked Questions on LCM of 1709 and 1714

1. What is the LCM of 1709 and 1714?

Answer: LCM of 1709 and 1714 is 2929226.

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 1714?

Answer: Factors of 1714 are 1, 2, 857, 1714. There are 4 integers that are factors of 1714. The greatest factor of 1714 is 1714.

4. How to Find the LCM of 1709 and 1714?

Answer:

Least Common Multiple of 1709 and 1714 = 2929226

Step 1: Find the prime factorization of 1709

1709 = 1709

Step 2: Find the prime factorization of 1714

1714 = 2 x 857

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

LCM = 2929226 = 2 x 857 x 1709

Step 4: Therefore, the least common multiple of 1709 and 1714 is 2929226.