Least Common Multiple of 1704 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 1704 and 1709 the smallest integer that is 2912136 that is divisible by both numbers.

Least Common Multiple (LCM) of 1704 and 1709 is 2912136.

LCM(1704,1709) = 2912136

LCM of 1704 and 1709

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

LCM of:
and

Least Common Multiple of 1704 and 1709

LCM of 1704 and 1709 is 2912136

Least common multiple can be found by multiplying the highest exponent prime factors of 1704 and 1709. First we will calculate the prime factors of 1704 and 1709.

Prime Factorization of 1704


2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 1704 are 2, 3,71. Prime factorization of 1704 in exponential form is:

1704 = 23×31×711

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 1704 and 1709.

LCM(1704,1709) = 23×31×711×17091
LCM(1704,1709) = 2912136

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704

Factors of 1709

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

1, 1709

Least Common Multiple of 1704 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 1704 and 1709, than apply into the LCM equation.

GCF(1704,1709) = 1
LCM(1704,1709) = ( 1704 × 1709) / 1
LCM(1704,1709) = 2912136 / 1
LCM(1704,1709) = 2912136

Properties of LCM 1704 and 1709

(i) The LCM of 1709 and 1704 is associative

LCM of 1704 and 1709 = LCM of 1709 and 1704

Related Least Common Multiples of 1704

Related Least Common Multiples of 1709

Frequently Asked Questions on LCM of 1704 and 1709

1. What is the LCM of 1704 and 1709?

Answer: LCM of 1704 and 1709 is 2912136.

2. What are the Factors of 1704?

Answer: Factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. There are 16 integers that are factors of 1704. The greatest factor of 1704 is 1704.

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 1704 and 1709?

Answer:

Least Common Multiple of 1704 and 1709 = 2912136

Step 1: Find the prime factorization of 1704

1704 = 2 x 2 x 2 x 3 x 71

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 = 2912136 = 2 x 2 x 2 x 3 x 71 x 1709

Step 4: Therefore, the least common multiple of 1704 and 1709 is 2912136.