Least Common Multiple of 1744 and 1750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1744 and 1750 the smallest integer that is 1526000 that is divisible by both numbers.

Least Common Multiple (LCM) of 1744 and 1750 is 1526000.

LCM(1744,1750) = 1526000

LCM of 1744 and 1750

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

LCM of:
and

Least Common Multiple of 1744 and 1750

LCM of 1744 and 1750 is 1526000

Least common multiple can be found by multiplying the highest exponent prime factors of 1744 and 1750. First we will calculate the prime factors of 1744 and 1750.

Prime Factorization of 1744


2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 1744 are 2,109. Prime factorization of 1744 in exponential form is:

1744 = 24×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1744 and 1750.

LCM(1744,1750) = 24×53×71×1091
LCM(1744,1750) = 1526000

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1, 2, 4, 8, 16, 109, 218, 436, 872, 1744

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

Least Common Multiple of 1744 and 1750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1744 and 1750, than apply into the LCM equation.

GCF(1744,1750) = 2
LCM(1744,1750) = ( 1744 × 1750) / 2
LCM(1744,1750) = 3052000 / 2
LCM(1744,1750) = 1526000

Properties of LCM 1744 and 1750

(i) The LCM of 1750 and 1744 is associative

LCM of 1744 and 1750 = LCM of 1750 and 1744

Related Least Common Multiples of 1744

Related Least Common Multiples of 1750

Frequently Asked Questions on LCM of 1744 and 1750

1. What is the LCM of 1744 and 1750?

Answer: LCM of 1744 and 1750 is 1526000.

2. What are the Factors of 1744?

Answer: Factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744. There are 10 integers that are factors of 1744. The greatest factor of 1744 is 1744.

3. 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.

4. How to Find the LCM of 1744 and 1750?

Answer:

Least Common Multiple of 1744 and 1750 = 1526000

Step 1: Find the prime factorization of 1744

1744 = 2 x 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 1750

1750 = 2 x 5 x 5 x 5 x 7

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

LCM = 1526000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 109

Step 4: Therefore, the least common multiple of 1744 and 1750 is 1526000.