Least Common Multiple of 1742 and 1746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1742 and 1746 the smallest integer that is 1520766 that is divisible by both numbers.

Least Common Multiple (LCM) of 1742 and 1746 is 1520766.

LCM(1742,1746) = 1520766

LCM of 1742 and 1746

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

LCM of:
and

Least Common Multiple of 1742 and 1746

LCM of 1742 and 1746 is 1520766

Least common multiple can be found by multiplying the highest exponent prime factors of 1742 and 1746. First we will calculate the prime factors of 1742 and 1746.

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

Prime Factorization of 1746


2 1746
3 873
3 291
97 97
1

Prime factors of 1746 are 2, 3,97. Prime factorization of 1746 in exponential form is:

1746 = 21×32×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1742 and 1746.

LCM(1742,1746) = 21×32×131×671×971
LCM(1742,1746) = 1520766

Factors of 1742

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

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

Factors of 1746

List of positive integer factors of 1746 that divides 1746 without a remainder.

1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746

Least Common Multiple of 1742 and 1746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1742 and 1746, than apply into the LCM equation.

GCF(1742,1746) = 2
LCM(1742,1746) = ( 1742 × 1746) / 2
LCM(1742,1746) = 3041532 / 2
LCM(1742,1746) = 1520766

Properties of LCM 1742 and 1746

(i) The LCM of 1746 and 1742 is associative

LCM of 1742 and 1746 = LCM of 1746 and 1742

Related Least Common Multiples of 1742

Related Least Common Multiples of 1746

Frequently Asked Questions on LCM of 1742 and 1746

1. What is the LCM of 1742 and 1746?

Answer: LCM of 1742 and 1746 is 1520766.

2. 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.

3. What are the Factors of 1746?

Answer: Factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746. There are 12 integers that are factors of 1746. The greatest factor of 1746 is 1746.

4. How to Find the LCM of 1742 and 1746?

Answer:

Least Common Multiple of 1742 and 1746 = 1520766

Step 1: Find the prime factorization of 1742

1742 = 2 x 13 x 67

Step 2: Find the prime factorization of 1746

1746 = 2 x 3 x 3 x 97

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

LCM = 1520766 = 2 x 3 x 3 x 13 x 67 x 97

Step 4: Therefore, the least common multiple of 1742 and 1746 is 1520766.