Least Common Multiple of 1751 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 1751 and 1755 the smallest integer that is 3073005 that is divisible by both numbers.

Least Common Multiple (LCM) of 1751 and 1755 is 3073005.

LCM(1751,1755) = 3073005

LCM of 1751 and 1755

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

LCM of:
and

Least Common Multiple of 1751 and 1755

LCM of 1751 and 1755 is 3073005

Least common multiple can be found by multiplying the highest exponent prime factors of 1751 and 1755. First we will calculate the prime factors of 1751 and 1755.

Prime Factorization of 1751


17 1751
103 103
1

Prime factors of 1751 are 17,103. Prime factorization of 1751 in exponential form is:

1751 = 171×1031

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 1751 and 1755.

LCM(1751,1755) = 33×51×131×171×1031
LCM(1751,1755) = 3073005

Factors of 1751

List of positive integer factors of 1751 that divides 1751 without a remainder.

1, 17, 103, 1751

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 1751 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 1751 and 1755, than apply into the LCM equation.

GCF(1751,1755) = 1
LCM(1751,1755) = ( 1751 × 1755) / 1
LCM(1751,1755) = 3073005 / 1
LCM(1751,1755) = 3073005

Properties of LCM 1751 and 1755

(i) The LCM of 1755 and 1751 is associative

LCM of 1751 and 1755 = LCM of 1755 and 1751

Related Least Common Multiples of 1751

Related Least Common Multiples of 1755

Frequently Asked Questions on LCM of 1751 and 1755

1. What is the LCM of 1751 and 1755?

Answer: LCM of 1751 and 1755 is 3073005.

2. What are the Factors of 1751?

Answer: Factors of 1751 are 1, 17, 103, 1751. There are 4 integers that are factors of 1751. The greatest factor of 1751 is 1751.

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 1751 and 1755?

Answer:

Least Common Multiple of 1751 and 1755 = 3073005

Step 1: Find the prime factorization of 1751

1751 = 17 x 103

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 = 3073005 = 3 x 3 x 3 x 5 x 13 x 17 x 103

Step 4: Therefore, the least common multiple of 1751 and 1755 is 3073005.