Least Common Multiple of 1730 and 1734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1730 and 1734 the smallest integer that is 1499910 that is divisible by both numbers.

Least Common Multiple (LCM) of 1730 and 1734 is 1499910.

LCM(1730,1734) = 1499910

LCM of 1730 and 1734

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

LCM of:
and

Least Common Multiple of 1730 and 1734

LCM of 1730 and 1734 is 1499910

Least common multiple can be found by multiplying the highest exponent prime factors of 1730 and 1734. First we will calculate the prime factors of 1730 and 1734.

Prime Factorization of 1730


2 1730
5 865
173 173
1

Prime factors of 1730 are 2, 5,173. Prime factorization of 1730 in exponential form is:

1730 = 21×51×1731

Prime Factorization of 1734


2 1734
3 867
17 289
17 17
1

Prime factors of 1734 are 2, 3,17. Prime factorization of 1734 in exponential form is:

1734 = 21×31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 1730 and 1734.

LCM(1730,1734) = 21×31×51×172×1731
LCM(1730,1734) = 1499910

Factors of 1730

List of positive integer factors of 1730 that divides 1730 without a remainder.

1, 2, 5, 10, 173, 346, 865, 1730

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734

Least Common Multiple of 1730 and 1734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1730 and 1734, than apply into the LCM equation.

GCF(1730,1734) = 2
LCM(1730,1734) = ( 1730 × 1734) / 2
LCM(1730,1734) = 2999820 / 2
LCM(1730,1734) = 1499910

Properties of LCM 1730 and 1734

(i) The LCM of 1734 and 1730 is associative

LCM of 1730 and 1734 = LCM of 1734 and 1730

Related Least Common Multiples of 1730

Related Least Common Multiples of 1734

Frequently Asked Questions on LCM of 1730 and 1734

1. What is the LCM of 1730 and 1734?

Answer: LCM of 1730 and 1734 is 1499910.

2. What are the Factors of 1730?

Answer: Factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730. There are 8 integers that are factors of 1730. The greatest factor of 1730 is 1730.

3. What are the Factors of 1734?

Answer: Factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734. There are 12 integers that are factors of 1734. The greatest factor of 1734 is 1734.

4. How to Find the LCM of 1730 and 1734?

Answer:

Least Common Multiple of 1730 and 1734 = 1499910

Step 1: Find the prime factorization of 1730

1730 = 2 x 5 x 173

Step 2: Find the prime factorization of 1734

1734 = 2 x 3 x 17 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 = 1499910 = 2 x 3 x 5 x 17 x 17 x 173

Step 4: Therefore, the least common multiple of 1730 and 1734 is 1499910.