Least Common Multiple of 1753 and 1758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1753 and 1758 the smallest integer that is 3081774 that is divisible by both numbers.

Least Common Multiple (LCM) of 1753 and 1758 is 3081774.

LCM(1753,1758) = 3081774

LCM of 1753 and 1758

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

LCM of:
and

Least Common Multiple of 1753 and 1758

LCM of 1753 and 1758 is 3081774

Least common multiple can be found by multiplying the highest exponent prime factors of 1753 and 1758. First we will calculate the prime factors of 1753 and 1758.

Prime Factorization of 1753


1753 1753
1

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

1753 = 17531

Prime Factorization of 1758


2 1758
3 879
293 293
1

Prime factors of 1758 are 2, 3,293. Prime factorization of 1758 in exponential form is:

1758 = 21×31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 1753 and 1758.

LCM(1753,1758) = 21×31×2931×17531
LCM(1753,1758) = 3081774

Factors of 1753

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

1, 1753

Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1, 2, 3, 6, 293, 586, 879, 1758

Least Common Multiple of 1753 and 1758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1753 and 1758, than apply into the LCM equation.

GCF(1753,1758) = 1
LCM(1753,1758) = ( 1753 × 1758) / 1
LCM(1753,1758) = 3081774 / 1
LCM(1753,1758) = 3081774

Properties of LCM 1753 and 1758

(i) The LCM of 1758 and 1753 is associative

LCM of 1753 and 1758 = LCM of 1758 and 1753

Related Least Common Multiples of 1753

Related Least Common Multiples of 1758

Frequently Asked Questions on LCM of 1753 and 1758

1. What is the LCM of 1753 and 1758?

Answer: LCM of 1753 and 1758 is 3081774.

2. 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.

3. What are the Factors of 1758?

Answer: Factors of 1758 are 1, 2, 3, 6, 293, 586, 879, 1758. There are 8 integers that are factors of 1758. The greatest factor of 1758 is 1758.

4. How to Find the LCM of 1753 and 1758?

Answer:

Least Common Multiple of 1753 and 1758 = 3081774

Step 1: Find the prime factorization of 1753

1753 = 1753

Step 2: Find the prime factorization of 1758

1758 = 2 x 3 x 293

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

LCM = 3081774 = 2 x 3 x 293 x 1753

Step 4: Therefore, the least common multiple of 1753 and 1758 is 3081774.