Least Common Multiple of 1738 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 1738 and 1742 the smallest integer that is 1513798 that is divisible by both numbers.

Least Common Multiple (LCM) of 1738 and 1742 is 1513798.

LCM(1738,1742) = 1513798

LCM of 1738 and 1742

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

LCM of:
and

Least Common Multiple of 1738 and 1742

LCM of 1738 and 1742 is 1513798

Least common multiple can be found by multiplying the highest exponent prime factors of 1738 and 1742. First we will calculate the prime factors of 1738 and 1742.

Prime Factorization of 1738


2 1738
11 869
79 79
1

Prime factors of 1738 are 2, 11,79. Prime factorization of 1738 in exponential form is:

1738 = 21×111×791

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 1738 and 1742.

LCM(1738,1742) = 21×111×131×671×791
LCM(1738,1742) = 1513798

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1, 2, 11, 22, 79, 158, 869, 1738

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 1738 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 1738 and 1742, than apply into the LCM equation.

GCF(1738,1742) = 2
LCM(1738,1742) = ( 1738 × 1742) / 2
LCM(1738,1742) = 3027596 / 2
LCM(1738,1742) = 1513798

Properties of LCM 1738 and 1742

(i) The LCM of 1742 and 1738 is associative

LCM of 1738 and 1742 = LCM of 1742 and 1738

Related Least Common Multiples of 1738

Related Least Common Multiples of 1742

Frequently Asked Questions on LCM of 1738 and 1742

1. What is the LCM of 1738 and 1742?

Answer: LCM of 1738 and 1742 is 1513798.

2. What are the Factors of 1738?

Answer: Factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738. There are 8 integers that are factors of 1738. The greatest factor of 1738 is 1738.

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 1738 and 1742?

Answer:

Least Common Multiple of 1738 and 1742 = 1513798

Step 1: Find the prime factorization of 1738

1738 = 2 x 11 x 79

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 = 1513798 = 2 x 11 x 13 x 67 x 79

Step 4: Therefore, the least common multiple of 1738 and 1742 is 1513798.