Least Common Multiple of 1737 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 1737 and 1745 the smallest integer that is 3031065 that is divisible by both numbers.

Least Common Multiple (LCM) of 1737 and 1745 is 3031065.

LCM(1737,1745) = 3031065

LCM of 1737 and 1745

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

LCM of:
and

Least Common Multiple of 1737 and 1745

LCM of 1737 and 1745 is 3031065

Least common multiple can be found by multiplying the highest exponent prime factors of 1737 and 1745. First we will calculate the prime factors of 1737 and 1745.

Prime Factorization of 1737


3 1737
3 579
193 193
1

Prime factors of 1737 are 3,193. Prime factorization of 1737 in exponential form is:

1737 = 32×1931

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 1737 and 1745.

LCM(1737,1745) = 32×51×1931×3491
LCM(1737,1745) = 3031065

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1, 3, 9, 193, 579, 1737

Factors of 1745

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

1, 5, 349, 1745

Least Common Multiple of 1737 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 1737 and 1745, than apply into the LCM equation.

GCF(1737,1745) = 1
LCM(1737,1745) = ( 1737 × 1745) / 1
LCM(1737,1745) = 3031065 / 1
LCM(1737,1745) = 3031065

Properties of LCM 1737 and 1745

(i) The LCM of 1745 and 1737 is associative

LCM of 1737 and 1745 = LCM of 1745 and 1737

Related Least Common Multiples of 1737

Related Least Common Multiples of 1745

Frequently Asked Questions on LCM of 1737 and 1745

1. What is the LCM of 1737 and 1745?

Answer: LCM of 1737 and 1745 is 3031065.

2. What are the Factors of 1737?

Answer: Factors of 1737 are 1, 3, 9, 193, 579, 1737. There are 6 integers that are factors of 1737. The greatest factor of 1737 is 1737.

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 1737 and 1745?

Answer:

Least Common Multiple of 1737 and 1745 = 3031065

Step 1: Find the prime factorization of 1737

1737 = 3 x 3 x 193

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 = 3031065 = 3 x 3 x 5 x 193 x 349

Step 4: Therefore, the least common multiple of 1737 and 1745 is 3031065.