Least Common Multiple of 1743 and 1751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1743 and 1751 the smallest integer that is 3051993 that is divisible by both numbers.

Least Common Multiple (LCM) of 1743 and 1751 is 3051993.

LCM(1743,1751) = 3051993

LCM of 1743 and 1751

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

LCM of:
and

Least Common Multiple of 1743 and 1751

LCM of 1743 and 1751 is 3051993

Least common multiple can be found by multiplying the highest exponent prime factors of 1743 and 1751. First we will calculate the prime factors of 1743 and 1751.

Prime Factorization of 1743


3 1743
7 581
83 83
1

Prime factors of 1743 are 3, 7,83. Prime factorization of 1743 in exponential form is:

1743 = 31×71×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1743 and 1751.

LCM(1743,1751) = 31×71×171×831×1031
LCM(1743,1751) = 3051993

Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1, 3, 7, 21, 83, 249, 581, 1743

Factors of 1751

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

1, 17, 103, 1751

Least Common Multiple of 1743 and 1751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1743 and 1751, than apply into the LCM equation.

GCF(1743,1751) = 1
LCM(1743,1751) = ( 1743 × 1751) / 1
LCM(1743,1751) = 3051993 / 1
LCM(1743,1751) = 3051993

Properties of LCM 1743 and 1751

(i) The LCM of 1751 and 1743 is associative

LCM of 1743 and 1751 = LCM of 1751 and 1743

Related Least Common Multiples of 1743

Related Least Common Multiples of 1751

Frequently Asked Questions on LCM of 1743 and 1751

1. What is the LCM of 1743 and 1751?

Answer: LCM of 1743 and 1751 is 3051993.

2. What are the Factors of 1743?

Answer: Factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743. There are 8 integers that are factors of 1743. The greatest factor of 1743 is 1743.

3. 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.

4. How to Find the LCM of 1743 and 1751?

Answer:

Least Common Multiple of 1743 and 1751 = 3051993

Step 1: Find the prime factorization of 1743

1743 = 3 x 7 x 83

Step 2: Find the prime factorization of 1751

1751 = 17 x 103

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

LCM = 3051993 = 3 x 7 x 17 x 83 x 103

Step 4: Therefore, the least common multiple of 1743 and 1751 is 3051993.