Least Common Multiple of 1750 and 1757

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 1757 the smallest integer that is 439250 that is divisible by both numbers.

Least Common Multiple (LCM) of 1750 and 1757 is 439250.

LCM(1750,1757) = 439250

LCM of 1750 and 1757

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

LCM of:
and

Least Common Multiple of 1750 and 1757

LCM of 1750 and 1757 is 439250

Least common multiple can be found by multiplying the highest exponent prime factors of 1750 and 1757. First we will calculate the prime factors of 1750 and 1757.

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 1757


7 1757
251 251
1

Prime factors of 1757 are 7,251. Prime factorization of 1757 in exponential form is:

1757 = 71×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 1750 and 1757.

LCM(1750,1757) = 21×53×71×2511
LCM(1750,1757) = 439250

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 1757

List of positive integer factors of 1757 that divides 1757 without a remainder.

1, 7, 251, 1757

Least Common Multiple of 1750 and 1757 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 1757, than apply into the LCM equation.

GCF(1750,1757) = 7
LCM(1750,1757) = ( 1750 × 1757) / 7
LCM(1750,1757) = 3074750 / 7
LCM(1750,1757) = 439250

Properties of LCM 1750 and 1757

(i) The LCM of 1757 and 1750 is associative

LCM of 1750 and 1757 = LCM of 1757 and 1750

Related Least Common Multiples of 1750

Related Least Common Multiples of 1757

Frequently Asked Questions on LCM of 1750 and 1757

1. What is the LCM of 1750 and 1757?

Answer: LCM of 1750 and 1757 is 439250.

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 1757?

Answer: Factors of 1757 are 1, 7, 251, 1757. There are 4 integers that are factors of 1757. The greatest factor of 1757 is 1757.

4. How to Find the LCM of 1750 and 1757?

Answer:

Least Common Multiple of 1750 and 1757 = 439250

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 1757

1757 = 7 x 251

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

LCM = 439250 = 2 x 5 x 5 x 5 x 7 x 251

Step 4: Therefore, the least common multiple of 1750 and 1757 is 439250.