Least Common Multiple of 1737 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 1737 and 1738 the smallest integer that is 3018906 that is divisible by both numbers.

Least Common Multiple (LCM) of 1737 and 1738 is 3018906.

LCM(1737,1738) = 3018906

LCM of 1737 and 1738

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

LCM of:
and

Least Common Multiple of 1737 and 1738

LCM of 1737 and 1738 is 3018906

Least common multiple can be found by multiplying the highest exponent prime factors of 1737 and 1738. First we will calculate the prime factors of 1737 and 1738.

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 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 1737 and 1738.

LCM(1737,1738) = 21×32×111×791×1931
LCM(1737,1738) = 3018906

Factors of 1737

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

1, 3, 9, 193, 579, 1737

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 1737 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 1737 and 1738, than apply into the LCM equation.

GCF(1737,1738) = 1
LCM(1737,1738) = ( 1737 × 1738) / 1
LCM(1737,1738) = 3018906 / 1
LCM(1737,1738) = 3018906

Properties of LCM 1737 and 1738

(i) The LCM of 1738 and 1737 is associative

LCM of 1737 and 1738 = LCM of 1738 and 1737

Related Least Common Multiples of 1737

Related Least Common Multiples of 1738

Frequently Asked Questions on LCM of 1737 and 1738

1. What is the LCM of 1737 and 1738?

Answer: LCM of 1737 and 1738 is 3018906.

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 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 1737 and 1738?

Answer:

Least Common Multiple of 1737 and 1738 = 3018906

Step 1: Find the prime factorization of 1737

1737 = 3 x 3 x 193

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 = 3018906 = 2 x 3 x 3 x 11 x 79 x 193

Step 4: Therefore, the least common multiple of 1737 and 1738 is 3018906.