Least Common Multiple of 1730 and 1738

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 1738 the smallest integer that is 1503370 that is divisible by both numbers.

Least Common Multiple (LCM) of 1730 and 1738 is 1503370.

LCM(1730,1738) = 1503370

LCM of 1730 and 1738

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

LCM of:
and

Least Common Multiple of 1730 and 1738

LCM of 1730 and 1738 is 1503370

Least common multiple can be found by multiplying the highest exponent prime factors of 1730 and 1738. First we will calculate the prime factors of 1730 and 1738.

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 1738


2 1738
11 869
79 79
1

Prime factors of 1738 are 2, 11,79. Prime factorization of 1738 in exponential form is:

1738 = 21×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1730 and 1738.

LCM(1730,1738) = 21×51×111×791×1731
LCM(1730,1738) = 1503370

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 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1, 2, 11, 22, 79, 158, 869, 1738

Least Common Multiple of 1730 and 1738 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 1738, than apply into the LCM equation.

GCF(1730,1738) = 2
LCM(1730,1738) = ( 1730 × 1738) / 2
LCM(1730,1738) = 3006740 / 2
LCM(1730,1738) = 1503370

Properties of LCM 1730 and 1738

(i) The LCM of 1738 and 1730 is associative

LCM of 1730 and 1738 = LCM of 1738 and 1730

Related Least Common Multiples of 1730

Related Least Common Multiples of 1738

Frequently Asked Questions on LCM of 1730 and 1738

1. What is the LCM of 1730 and 1738?

Answer: LCM of 1730 and 1738 is 1503370.

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 1738?

Answer: Factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738. There are 8 integers that are factors of 1738. The greatest factor of 1738 is 1738.

4. How to Find the LCM of 1730 and 1738?

Answer:

Least Common Multiple of 1730 and 1738 = 1503370

Step 1: Find the prime factorization of 1730

1730 = 2 x 5 x 173

Step 2: Find the prime factorization of 1738

1738 = 2 x 11 x 79

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

LCM = 1503370 = 2 x 5 x 11 x 79 x 173

Step 4: Therefore, the least common multiple of 1730 and 1738 is 1503370.