Least Common Multiple of 1737 and 1744

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 1744 the smallest integer that is 3029328 that is divisible by both numbers.

Least Common Multiple (LCM) of 1737 and 1744 is 3029328.

LCM(1737,1744) = 3029328

LCM of 1737 and 1744

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

LCM of:
and

Least Common Multiple of 1737 and 1744

LCM of 1737 and 1744 is 3029328

Least common multiple can be found by multiplying the highest exponent prime factors of 1737 and 1744. First we will calculate the prime factors of 1737 and 1744.

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 1744


2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 1744 are 2,109. Prime factorization of 1744 in exponential form is:

1744 = 24×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1737 and 1744.

LCM(1737,1744) = 24×32×1091×1931
LCM(1737,1744) = 3029328

Factors of 1737

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

1, 3, 9, 193, 579, 1737

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1, 2, 4, 8, 16, 109, 218, 436, 872, 1744

Least Common Multiple of 1737 and 1744 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 1744, than apply into the LCM equation.

GCF(1737,1744) = 1
LCM(1737,1744) = ( 1737 × 1744) / 1
LCM(1737,1744) = 3029328 / 1
LCM(1737,1744) = 3029328

Properties of LCM 1737 and 1744

(i) The LCM of 1744 and 1737 is associative

LCM of 1737 and 1744 = LCM of 1744 and 1737

Related Least Common Multiples of 1737

Related Least Common Multiples of 1744

Frequently Asked Questions on LCM of 1737 and 1744

1. What is the LCM of 1737 and 1744?

Answer: LCM of 1737 and 1744 is 3029328.

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 1744?

Answer: Factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744. There are 10 integers that are factors of 1744. The greatest factor of 1744 is 1744.

4. How to Find the LCM of 1737 and 1744?

Answer:

Least Common Multiple of 1737 and 1744 = 3029328

Step 1: Find the prime factorization of 1737

1737 = 3 x 3 x 193

Step 2: Find the prime factorization of 1744

1744 = 2 x 2 x 2 x 2 x 109

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

LCM = 3029328 = 2 x 2 x 2 x 2 x 3 x 3 x 109 x 193

Step 4: Therefore, the least common multiple of 1737 and 1744 is 3029328.