Least Common Multiple of 1750 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 1750 and 1758 the smallest integer that is 1538250 that is divisible by both numbers.

Least Common Multiple (LCM) of 1750 and 1758 is 1538250.

LCM(1750,1758) = 1538250

LCM of 1750 and 1758

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

LCM of:
and

Least Common Multiple of 1750 and 1758

LCM of 1750 and 1758 is 1538250

Least common multiple can be found by multiplying the highest exponent prime factors of 1750 and 1758. First we will calculate the prime factors of 1750 and 1758.

Prime Factorization of 1750


2 1750
5 875
5 175
5 35
7 7
1

Prime factors of 1750 are 2, 5,7. Prime factorization of 1750 in exponential form is:

1750 = 21×53×71

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 1750 and 1758.

LCM(1750,1758) = 21×31×53×71×2931
LCM(1750,1758) = 1538250

Factors of 1750

List of positive integer factors of 1750 that divides 1750 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750

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 1750 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 1750 and 1758, than apply into the LCM equation.

GCF(1750,1758) = 2
LCM(1750,1758) = ( 1750 × 1758) / 2
LCM(1750,1758) = 3076500 / 2
LCM(1750,1758) = 1538250

Properties of LCM 1750 and 1758

(i) The LCM of 1758 and 1750 is associative

LCM of 1750 and 1758 = LCM of 1758 and 1750

Related Least Common Multiples of 1750

Related Least Common Multiples of 1758

Frequently Asked Questions on LCM of 1750 and 1758

1. What is the LCM of 1750 and 1758?

Answer: LCM of 1750 and 1758 is 1538250.

2. What are the Factors of 1750?

Answer: Factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750. There are 16 integers that are factors of 1750. The greatest factor of 1750 is 1750.

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 1750 and 1758?

Answer:

Least Common Multiple of 1750 and 1758 = 1538250

Step 1: Find the prime factorization of 1750

1750 = 2 x 5 x 5 x 5 x 7

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 = 1538250 = 2 x 3 x 5 x 5 x 5 x 7 x 293

Step 4: Therefore, the least common multiple of 1750 and 1758 is 1538250.