Least Common Multiple of 1743 and 1748

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 1748 the smallest integer that is 3046764 that is divisible by both numbers.

Least Common Multiple (LCM) of 1743 and 1748 is 3046764.

LCM(1743,1748) = 3046764

LCM of 1743 and 1748

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

LCM of:
and

Least Common Multiple of 1743 and 1748

LCM of 1743 and 1748 is 3046764

Least common multiple can be found by multiplying the highest exponent prime factors of 1743 and 1748. First we will calculate the prime factors of 1743 and 1748.

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 1748


2 1748
2 874
19 437
23 23
1

Prime factors of 1748 are 2, 19,23. Prime factorization of 1748 in exponential form is:

1748 = 22×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1743 and 1748.

LCM(1743,1748) = 22×31×71×191×231×831
LCM(1743,1748) = 3046764

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 1748

List of positive integer factors of 1748 that divides 1748 without a remainder.

1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748

Least Common Multiple of 1743 and 1748 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 1748, than apply into the LCM equation.

GCF(1743,1748) = 1
LCM(1743,1748) = ( 1743 × 1748) / 1
LCM(1743,1748) = 3046764 / 1
LCM(1743,1748) = 3046764

Properties of LCM 1743 and 1748

(i) The LCM of 1748 and 1743 is associative

LCM of 1743 and 1748 = LCM of 1748 and 1743

Related Least Common Multiples of 1743

Related Least Common Multiples of 1748

Frequently Asked Questions on LCM of 1743 and 1748

1. What is the LCM of 1743 and 1748?

Answer: LCM of 1743 and 1748 is 3046764.

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 1748?

Answer: Factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748. There are 12 integers that are factors of 1748. The greatest factor of 1748 is 1748.

4. How to Find the LCM of 1743 and 1748?

Answer:

Least Common Multiple of 1743 and 1748 = 3046764

Step 1: Find the prime factorization of 1743

1743 = 3 x 7 x 83

Step 2: Find the prime factorization of 1748

1748 = 2 x 2 x 19 x 23

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

LCM = 3046764 = 2 x 2 x 3 x 7 x 19 x 23 x 83

Step 4: Therefore, the least common multiple of 1743 and 1748 is 3046764.