Least Common Multiple of 1738 and 1740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1738 and 1740 the smallest integer that is 1512060 that is divisible by both numbers.

Least Common Multiple (LCM) of 1738 and 1740 is 1512060.

LCM(1738,1740) = 1512060

LCM of 1738 and 1740

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

LCM of:
and

Least Common Multiple of 1738 and 1740

LCM of 1738 and 1740 is 1512060

Least common multiple can be found by multiplying the highest exponent prime factors of 1738 and 1740. First we will calculate the prime factors of 1738 and 1740.

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

Prime Factorization of 1740


2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 1740 are 2, 3, 5,29. Prime factorization of 1740 in exponential form is:

1740 = 22×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1738 and 1740.

LCM(1738,1740) = 22×31×51×111×291×791
LCM(1738,1740) = 1512060

Factors of 1738

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

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

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740

Least Common Multiple of 1738 and 1740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1738 and 1740, than apply into the LCM equation.

GCF(1738,1740) = 2
LCM(1738,1740) = ( 1738 × 1740) / 2
LCM(1738,1740) = 3024120 / 2
LCM(1738,1740) = 1512060

Properties of LCM 1738 and 1740

(i) The LCM of 1740 and 1738 is associative

LCM of 1738 and 1740 = LCM of 1740 and 1738

Related Least Common Multiples of 1738

Related Least Common Multiples of 1740

Frequently Asked Questions on LCM of 1738 and 1740

1. What is the LCM of 1738 and 1740?

Answer: LCM of 1738 and 1740 is 1512060.

2. 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.

3. What are the Factors of 1740?

Answer: Factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. There are 24 integers that are factors of 1740. The greatest factor of 1740 is 1740.

4. How to Find the LCM of 1738 and 1740?

Answer:

Least Common Multiple of 1738 and 1740 = 1512060

Step 1: Find the prime factorization of 1738

1738 = 2 x 11 x 79

Step 2: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

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

LCM = 1512060 = 2 x 2 x 3 x 5 x 11 x 29 x 79

Step 4: Therefore, the least common multiple of 1738 and 1740 is 1512060.