Least Common Multiple of 1735 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 1735 and 1742 the smallest integer that is 3022370 that is divisible by both numbers.

Least Common Multiple (LCM) of 1735 and 1742 is 3022370.

LCM(1735,1742) = 3022370

LCM of 1735 and 1742

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

LCM of:
and

Least Common Multiple of 1735 and 1742

LCM of 1735 and 1742 is 3022370

Least common multiple can be found by multiplying the highest exponent prime factors of 1735 and 1742. First we will calculate the prime factors of 1735 and 1742.

Prime Factorization of 1735


5 1735
347 347
1

Prime factors of 1735 are 5,347. Prime factorization of 1735 in exponential form is:

1735 = 51×3471

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 1735 and 1742.

LCM(1735,1742) = 21×51×131×671×3471
LCM(1735,1742) = 3022370

Factors of 1735

List of positive integer factors of 1735 that divides 1735 without a remainder.

1, 5, 347, 1735

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 1735 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 1735 and 1742, than apply into the LCM equation.

GCF(1735,1742) = 1
LCM(1735,1742) = ( 1735 × 1742) / 1
LCM(1735,1742) = 3022370 / 1
LCM(1735,1742) = 3022370

Properties of LCM 1735 and 1742

(i) The LCM of 1742 and 1735 is associative

LCM of 1735 and 1742 = LCM of 1742 and 1735

Related Least Common Multiples of 1735

Related Least Common Multiples of 1742

Frequently Asked Questions on LCM of 1735 and 1742

1. What is the LCM of 1735 and 1742?

Answer: LCM of 1735 and 1742 is 3022370.

2. What are the Factors of 1735?

Answer: Factors of 1735 are 1, 5, 347, 1735. There are 4 integers that are factors of 1735. The greatest factor of 1735 is 1735.

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 1735 and 1742?

Answer:

Least Common Multiple of 1735 and 1742 = 3022370

Step 1: Find the prime factorization of 1735

1735 = 5 x 347

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 = 3022370 = 2 x 5 x 13 x 67 x 347

Step 4: Therefore, the least common multiple of 1735 and 1742 is 3022370.