Least Common Multiple of 1746 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 1746 and 1753 the smallest integer that is 3060738 that is divisible by both numbers.

Least Common Multiple (LCM) of 1746 and 1753 is 3060738.

LCM(1746,1753) = 3060738

LCM of 1746 and 1753

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

LCM of:
and

Least Common Multiple of 1746 and 1753

LCM of 1746 and 1753 is 3060738

Least common multiple can be found by multiplying the highest exponent prime factors of 1746 and 1753. First we will calculate the prime factors of 1746 and 1753.

Prime Factorization of 1746


2 1746
3 873
3 291
97 97
1

Prime factors of 1746 are 2, 3,97. Prime factorization of 1746 in exponential form is:

1746 = 21×32×971

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 1746 and 1753.

LCM(1746,1753) = 21×32×971×17531
LCM(1746,1753) = 3060738

Factors of 1746

List of positive integer factors of 1746 that divides 1746 without a remainder.

1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746

Factors of 1753

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

1, 1753

Least Common Multiple of 1746 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 1746 and 1753, than apply into the LCM equation.

GCF(1746,1753) = 1
LCM(1746,1753) = ( 1746 × 1753) / 1
LCM(1746,1753) = 3060738 / 1
LCM(1746,1753) = 3060738

Properties of LCM 1746 and 1753

(i) The LCM of 1753 and 1746 is associative

LCM of 1746 and 1753 = LCM of 1753 and 1746

Related Least Common Multiples of 1746

Related Least Common Multiples of 1753

Frequently Asked Questions on LCM of 1746 and 1753

1. What is the LCM of 1746 and 1753?

Answer: LCM of 1746 and 1753 is 3060738.

2. What are the Factors of 1746?

Answer: Factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746. There are 12 integers that are factors of 1746. The greatest factor of 1746 is 1746.

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 1746 and 1753?

Answer:

Least Common Multiple of 1746 and 1753 = 3060738

Step 1: Find the prime factorization of 1746

1746 = 2 x 3 x 3 x 97

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 = 3060738 = 2 x 3 x 3 x 97 x 1753

Step 4: Therefore, the least common multiple of 1746 and 1753 is 3060738.