Least Common Multiple of 1736 and 1742

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 1742 the smallest integer that is 1512056 that is divisible by both numbers.

Least Common Multiple (LCM) of 1736 and 1742 is 1512056.

LCM(1736,1742) = 1512056

LCM of 1736 and 1742

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

LCM of:
and

Least Common Multiple of 1736 and 1742

LCM of 1736 and 1742 is 1512056

Least common multiple can be found by multiplying the highest exponent prime factors of 1736 and 1742. First we will calculate the prime factors of 1736 and 1742.

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 1742


2 1742
13 871
67 67
1

Prime factors of 1742 are 2, 13,67. Prime factorization of 1742 in exponential form is:

1742 = 21×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1736 and 1742.

LCM(1736,1742) = 23×71×131×311×671
LCM(1736,1742) = 1512056

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 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1, 2, 13, 26, 67, 134, 871, 1742

Least Common Multiple of 1736 and 1742 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 1742, than apply into the LCM equation.

GCF(1736,1742) = 2
LCM(1736,1742) = ( 1736 × 1742) / 2
LCM(1736,1742) = 3024112 / 2
LCM(1736,1742) = 1512056

Properties of LCM 1736 and 1742

(i) The LCM of 1742 and 1736 is associative

LCM of 1736 and 1742 = LCM of 1742 and 1736

Related Least Common Multiples of 1736

Related Least Common Multiples of 1742

Frequently Asked Questions on LCM of 1736 and 1742

1. What is the LCM of 1736 and 1742?

Answer: LCM of 1736 and 1742 is 1512056.

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 1742?

Answer: Factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742. There are 8 integers that are factors of 1742. The greatest factor of 1742 is 1742.

4. How to Find the LCM of 1736 and 1742?

Answer:

Least Common Multiple of 1736 and 1742 = 1512056

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 1742

1742 = 2 x 13 x 67

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

LCM = 1512056 = 2 x 2 x 2 x 7 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 1736 and 1742 is 1512056.