Least Common Multiple of 1735 and 1739

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 1739 the smallest integer that is 3017165 that is divisible by both numbers.

Least Common Multiple (LCM) of 1735 and 1739 is 3017165.

LCM(1735,1739) = 3017165

LCM of 1735 and 1739

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

LCM of:
and

Least Common Multiple of 1735 and 1739

LCM of 1735 and 1739 is 3017165

Least common multiple can be found by multiplying the highest exponent prime factors of 1735 and 1739. First we will calculate the prime factors of 1735 and 1739.

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 1739


37 1739
47 47
1

Prime factors of 1739 are 37,47. Prime factorization of 1739 in exponential form is:

1739 = 371×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1735 and 1739.

LCM(1735,1739) = 51×371×471×3471
LCM(1735,1739) = 3017165

Factors of 1735

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

1, 5, 347, 1735

Factors of 1739

List of positive integer factors of 1739 that divides 1739 without a remainder.

1, 37, 47, 1739

Least Common Multiple of 1735 and 1739 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 1739, than apply into the LCM equation.

GCF(1735,1739) = 1
LCM(1735,1739) = ( 1735 × 1739) / 1
LCM(1735,1739) = 3017165 / 1
LCM(1735,1739) = 3017165

Properties of LCM 1735 and 1739

(i) The LCM of 1739 and 1735 is associative

LCM of 1735 and 1739 = LCM of 1739 and 1735

Related Least Common Multiples of 1735

Related Least Common Multiples of 1739

Frequently Asked Questions on LCM of 1735 and 1739

1. What is the LCM of 1735 and 1739?

Answer: LCM of 1735 and 1739 is 3017165.

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 1739?

Answer: Factors of 1739 are 1, 37, 47, 1739. There are 4 integers that are factors of 1739. The greatest factor of 1739 is 1739.

4. How to Find the LCM of 1735 and 1739?

Answer:

Least Common Multiple of 1735 and 1739 = 3017165

Step 1: Find the prime factorization of 1735

1735 = 5 x 347

Step 2: Find the prime factorization of 1739

1739 = 37 x 47

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

LCM = 3017165 = 5 x 37 x 47 x 347

Step 4: Therefore, the least common multiple of 1735 and 1739 is 3017165.