Least Common Multiple of 1730 and 1736

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 1736 the smallest integer that is 1501640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1730 and 1736 is 1501640.

LCM(1730,1736) = 1501640

LCM of 1730 and 1736

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

LCM of:
and

Least Common Multiple of 1730 and 1736

LCM of 1730 and 1736 is 1501640

Least common multiple can be found by multiplying the highest exponent prime factors of 1730 and 1736. First we will calculate the prime factors of 1730 and 1736.

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 1736


2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 1736 are 2, 7,31. Prime factorization of 1736 in exponential form is:

1736 = 23×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1730 and 1736.

LCM(1730,1736) = 23×51×71×311×1731
LCM(1730,1736) = 1501640

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 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736

Least Common Multiple of 1730 and 1736 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 1736, than apply into the LCM equation.

GCF(1730,1736) = 2
LCM(1730,1736) = ( 1730 × 1736) / 2
LCM(1730,1736) = 3003280 / 2
LCM(1730,1736) = 1501640

Properties of LCM 1730 and 1736

(i) The LCM of 1736 and 1730 is associative

LCM of 1730 and 1736 = LCM of 1736 and 1730

Related Least Common Multiples of 1730

Related Least Common Multiples of 1736

Frequently Asked Questions on LCM of 1730 and 1736

1. What is the LCM of 1730 and 1736?

Answer: LCM of 1730 and 1736 is 1501640.

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 1736?

Answer: Factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. There are 16 integers that are factors of 1736. The greatest factor of 1736 is 1736.

4. How to Find the LCM of 1730 and 1736?

Answer:

Least Common Multiple of 1730 and 1736 = 1501640

Step 1: Find the prime factorization of 1730

1730 = 2 x 5 x 173

Step 2: Find the prime factorization of 1736

1736 = 2 x 2 x 2 x 7 x 31

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

LCM = 1501640 = 2 x 2 x 2 x 5 x 7 x 31 x 173

Step 4: Therefore, the least common multiple of 1730 and 1736 is 1501640.