Least Common Multiple of 1756 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 1756 and 1758 the smallest integer that is 1543524 that is divisible by both numbers.

Least Common Multiple (LCM) of 1756 and 1758 is 1543524.

LCM(1756,1758) = 1543524

LCM of 1756 and 1758

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

LCM of:
and

Least Common Multiple of 1756 and 1758

LCM of 1756 and 1758 is 1543524

Least common multiple can be found by multiplying the highest exponent prime factors of 1756 and 1758. First we will calculate the prime factors of 1756 and 1758.

Prime Factorization of 1756


2 1756
2 878
439 439
1

Prime factors of 1756 are 2,439. Prime factorization of 1756 in exponential form is:

1756 = 22×4391

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 1756 and 1758.

LCM(1756,1758) = 22×31×2931×4391
LCM(1756,1758) = 1543524

Factors of 1756

List of positive integer factors of 1756 that divides 1756 without a remainder.

1, 2, 4, 439, 878, 1756

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 1756 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 1756 and 1758, than apply into the LCM equation.

GCF(1756,1758) = 2
LCM(1756,1758) = ( 1756 × 1758) / 2
LCM(1756,1758) = 3087048 / 2
LCM(1756,1758) = 1543524

Properties of LCM 1756 and 1758

(i) The LCM of 1758 and 1756 is associative

LCM of 1756 and 1758 = LCM of 1758 and 1756

Related Least Common Multiples of 1756

Related Least Common Multiples of 1758

Frequently Asked Questions on LCM of 1756 and 1758

1. What is the LCM of 1756 and 1758?

Answer: LCM of 1756 and 1758 is 1543524.

2. What are the Factors of 1756?

Answer: Factors of 1756 are 1, 2, 4, 439, 878, 1756. There are 6 integers that are factors of 1756. The greatest factor of 1756 is 1756.

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 1756 and 1758?

Answer:

Least Common Multiple of 1756 and 1758 = 1543524

Step 1: Find the prime factorization of 1756

1756 = 2 x 2 x 439

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 = 1543524 = 2 x 2 x 3 x 293 x 439

Step 4: Therefore, the least common multiple of 1756 and 1758 is 1543524.