Least Common Multiple of 1736 and 1743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1736 and 1743 the smallest integer that is 432264 that is divisible by both numbers.

Least Common Multiple (LCM) of 1736 and 1743 is 432264.

LCM(1736,1743) = 432264

LCM of 1736 and 1743

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

LCM of:
and

Least Common Multiple of 1736 and 1743

LCM of 1736 and 1743 is 432264

Least common multiple can be found by multiplying the highest exponent prime factors of 1736 and 1743. First we will calculate the prime factors of 1736 and 1743.

Prime Factorization of 1736


2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 1736 are 2, 7,31. Prime factorization of 1736 in exponential form is:

1736 = 23×71×311

Prime Factorization of 1743


3 1743
7 581
83 83
1

Prime factors of 1743 are 3, 7,83. Prime factorization of 1743 in exponential form is:

1743 = 31×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1736 and 1743.

LCM(1736,1743) = 23×31×71×311×831
LCM(1736,1743) = 432264

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736

Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1, 3, 7, 21, 83, 249, 581, 1743

Least Common Multiple of 1736 and 1743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1736 and 1743, than apply into the LCM equation.

GCF(1736,1743) = 7
LCM(1736,1743) = ( 1736 × 1743) / 7
LCM(1736,1743) = 3025848 / 7
LCM(1736,1743) = 432264

Properties of LCM 1736 and 1743

(i) The LCM of 1743 and 1736 is associative

LCM of 1736 and 1743 = LCM of 1743 and 1736

Related Least Common Multiples of 1736

Related Least Common Multiples of 1743

Frequently Asked Questions on LCM of 1736 and 1743

1. What is the LCM of 1736 and 1743?

Answer: LCM of 1736 and 1743 is 432264.

2. What are the Factors of 1736?

Answer: Factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. There are 16 integers that are factors of 1736. The greatest factor of 1736 is 1736.

3. What are the Factors of 1743?

Answer: Factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743. There are 8 integers that are factors of 1743. The greatest factor of 1743 is 1743.

4. How to Find the LCM of 1736 and 1743?

Answer:

Least Common Multiple of 1736 and 1743 = 432264

Step 1: Find the prime factorization of 1736

1736 = 2 x 2 x 2 x 7 x 31

Step 2: Find the prime factorization of 1743

1743 = 3 x 7 x 83

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

LCM = 432264 = 2 x 2 x 2 x 3 x 7 x 31 x 83

Step 4: Therefore, the least common multiple of 1736 and 1743 is 432264.