Least Common Multiple of 1744 and 1751

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 1751 the smallest integer that is 3053744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1744 and 1751 is 3053744.

LCM(1744,1751) = 3053744

LCM of 1744 and 1751

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

LCM of:
and

Least Common Multiple of 1744 and 1751

LCM of 1744 and 1751 is 3053744

Least common multiple can be found by multiplying the highest exponent prime factors of 1744 and 1751. First we will calculate the prime factors of 1744 and 1751.

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 1751


17 1751
103 103
1

Prime factors of 1751 are 17,103. Prime factorization of 1751 in exponential form is:

1751 = 171×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1744 and 1751.

LCM(1744,1751) = 24×171×1031×1091
LCM(1744,1751) = 3053744

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 1751

List of positive integer factors of 1751 that divides 1751 without a remainder.

1, 17, 103, 1751

Least Common Multiple of 1744 and 1751 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 1751, than apply into the LCM equation.

GCF(1744,1751) = 1
LCM(1744,1751) = ( 1744 × 1751) / 1
LCM(1744,1751) = 3053744 / 1
LCM(1744,1751) = 3053744

Properties of LCM 1744 and 1751

(i) The LCM of 1751 and 1744 is associative

LCM of 1744 and 1751 = LCM of 1751 and 1744

Related Least Common Multiples of 1744

Related Least Common Multiples of 1751

Frequently Asked Questions on LCM of 1744 and 1751

1. What is the LCM of 1744 and 1751?

Answer: LCM of 1744 and 1751 is 3053744.

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 1751?

Answer: Factors of 1751 are 1, 17, 103, 1751. There are 4 integers that are factors of 1751. The greatest factor of 1751 is 1751.

4. How to Find the LCM of 1744 and 1751?

Answer:

Least Common Multiple of 1744 and 1751 = 3053744

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 1751

1751 = 17 x 103

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

LCM = 3053744 = 2 x 2 x 2 x 2 x 17 x 103 x 109

Step 4: Therefore, the least common multiple of 1744 and 1751 is 3053744.