Least Common Multiple of 1747 and 1755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1747 and 1755 the smallest integer that is 3065985 that is divisible by both numbers.

Least Common Multiple (LCM) of 1747 and 1755 is 3065985.

LCM(1747,1755) = 3065985

LCM of 1747 and 1755

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

LCM of:
and

Least Common Multiple of 1747 and 1755

LCM of 1747 and 1755 is 3065985

Least common multiple can be found by multiplying the highest exponent prime factors of 1747 and 1755. First we will calculate the prime factors of 1747 and 1755.

Prime Factorization of 1747


1747 1747
1

Prime factors of 1747 are 1747. Prime factorization of 1747 in exponential form is:

1747 = 17471

Prime Factorization of 1755


3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 1755 are 3, 5,13. Prime factorization of 1755 in exponential form is:

1755 = 33×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1747 and 1755.

LCM(1747,1755) = 33×51×131×17471
LCM(1747,1755) = 3065985

Factors of 1747

List of positive integer factors of 1747 that divides 1747 without a remainder.

1, 1747

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755

Least Common Multiple of 1747 and 1755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1747 and 1755, than apply into the LCM equation.

GCF(1747,1755) = 1
LCM(1747,1755) = ( 1747 × 1755) / 1
LCM(1747,1755) = 3065985 / 1
LCM(1747,1755) = 3065985

Properties of LCM 1747 and 1755

(i) The LCM of 1755 and 1747 is associative

LCM of 1747 and 1755 = LCM of 1755 and 1747

Related Least Common Multiples of 1747

Related Least Common Multiples of 1755

Frequently Asked Questions on LCM of 1747 and 1755

1. What is the LCM of 1747 and 1755?

Answer: LCM of 1747 and 1755 is 3065985.

2. What are the Factors of 1747?

Answer: Factors of 1747 are 1, 1747. There are 2 integers that are factors of 1747. The greatest factor of 1747 is 1747.

3. What are the Factors of 1755?

Answer: Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. There are 16 integers that are factors of 1755. The greatest factor of 1755 is 1755.

4. How to Find the LCM of 1747 and 1755?

Answer:

Least Common Multiple of 1747 and 1755 = 3065985

Step 1: Find the prime factorization of 1747

1747 = 1747

Step 2: Find the prime factorization of 1755

1755 = 3 x 3 x 3 x 5 x 13

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

LCM = 3065985 = 3 x 3 x 3 x 5 x 13 x 1747

Step 4: Therefore, the least common multiple of 1747 and 1755 is 3065985.