Least Common Multiple of 1738 and 1745

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 1745 the smallest integer that is 3032810 that is divisible by both numbers.

Least Common Multiple (LCM) of 1738 and 1745 is 3032810.

LCM(1738,1745) = 3032810

LCM of 1738 and 1745

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

LCM of:
and

Least Common Multiple of 1738 and 1745

LCM of 1738 and 1745 is 3032810

Least common multiple can be found by multiplying the highest exponent prime factors of 1738 and 1745. First we will calculate the prime factors of 1738 and 1745.

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 1745


5 1745
349 349
1

Prime factors of 1745 are 5,349. Prime factorization of 1745 in exponential form is:

1745 = 51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 1738 and 1745.

LCM(1738,1745) = 21×51×111×791×3491
LCM(1738,1745) = 3032810

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 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1, 5, 349, 1745

Least Common Multiple of 1738 and 1745 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 1745, than apply into the LCM equation.

GCF(1738,1745) = 1
LCM(1738,1745) = ( 1738 × 1745) / 1
LCM(1738,1745) = 3032810 / 1
LCM(1738,1745) = 3032810

Properties of LCM 1738 and 1745

(i) The LCM of 1745 and 1738 is associative

LCM of 1738 and 1745 = LCM of 1745 and 1738

Related Least Common Multiples of 1738

Related Least Common Multiples of 1745

Frequently Asked Questions on LCM of 1738 and 1745

1. What is the LCM of 1738 and 1745?

Answer: LCM of 1738 and 1745 is 3032810.

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 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

4. How to Find the LCM of 1738 and 1745?

Answer:

Least Common Multiple of 1738 and 1745 = 3032810

Step 1: Find the prime factorization of 1738

1738 = 2 x 11 x 79

Step 2: Find the prime factorization of 1745

1745 = 5 x 349

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

LCM = 3032810 = 2 x 5 x 11 x 79 x 349

Step 4: Therefore, the least common multiple of 1738 and 1745 is 3032810.