Least Common Multiple of 1748 and 1753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1748 and 1753 the smallest integer that is 3064244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1748 and 1753 is 3064244.

LCM(1748,1753) = 3064244

LCM of 1748 and 1753

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

LCM of:
and

Least Common Multiple of 1748 and 1753

LCM of 1748 and 1753 is 3064244

Least common multiple can be found by multiplying the highest exponent prime factors of 1748 and 1753. First we will calculate the prime factors of 1748 and 1753.

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

Prime Factorization of 1753


1753 1753
1

Prime factors of 1753 are 1753. Prime factorization of 1753 in exponential form is:

1753 = 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 1748 and 1753.

LCM(1748,1753) = 22×191×231×17531
LCM(1748,1753) = 3064244

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

Factors of 1753

List of positive integer factors of 1753 that divides 1753 without a remainder.

1, 1753

Least Common Multiple of 1748 and 1753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1748 and 1753, than apply into the LCM equation.

GCF(1748,1753) = 1
LCM(1748,1753) = ( 1748 × 1753) / 1
LCM(1748,1753) = 3064244 / 1
LCM(1748,1753) = 3064244

Properties of LCM 1748 and 1753

(i) The LCM of 1753 and 1748 is associative

LCM of 1748 and 1753 = LCM of 1753 and 1748

Related Least Common Multiples of 1748

Related Least Common Multiples of 1753

Frequently Asked Questions on LCM of 1748 and 1753

1. What is the LCM of 1748 and 1753?

Answer: LCM of 1748 and 1753 is 3064244.

2. 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.

3. What are the Factors of 1753?

Answer: Factors of 1753 are 1, 1753. There are 2 integers that are factors of 1753. The greatest factor of 1753 is 1753.

4. How to Find the LCM of 1748 and 1753?

Answer:

Least Common Multiple of 1748 and 1753 = 3064244

Step 1: Find the prime factorization of 1748

1748 = 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 1753

1753 = 1753

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

LCM = 3064244 = 2 x 2 x 19 x 23 x 1753

Step 4: Therefore, the least common multiple of 1748 and 1753 is 3064244.