Least Common Multiple of 1739 and 1747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1739 and 1747 the smallest integer that is 3038033 that is divisible by both numbers.

Least Common Multiple (LCM) of 1739 and 1747 is 3038033.

LCM(1739,1747) = 3038033

LCM of 1739 and 1747

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

LCM of:
and

Least Common Multiple of 1739 and 1747

LCM of 1739 and 1747 is 3038033

Least common multiple can be found by multiplying the highest exponent prime factors of 1739 and 1747. First we will calculate the prime factors of 1739 and 1747.

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

Prime Factorization of 1747


1747 1747
1

Prime factors of 1747 are 1747. Prime factorization of 1747 in exponential form is:

1747 = 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 1739 and 1747.

LCM(1739,1747) = 371×471×17471
LCM(1739,1747) = 3038033

Factors of 1739

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

1, 37, 47, 1739

Factors of 1747

List of positive integer factors of 1747 that divides 1747 without a remainder.

1, 1747

Least Common Multiple of 1739 and 1747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1739 and 1747, than apply into the LCM equation.

GCF(1739,1747) = 1
LCM(1739,1747) = ( 1739 × 1747) / 1
LCM(1739,1747) = 3038033 / 1
LCM(1739,1747) = 3038033

Properties of LCM 1739 and 1747

(i) The LCM of 1747 and 1739 is associative

LCM of 1739 and 1747 = LCM of 1747 and 1739

Related Least Common Multiples of 1739

Related Least Common Multiples of 1747

Frequently Asked Questions on LCM of 1739 and 1747

1. What is the LCM of 1739 and 1747?

Answer: LCM of 1739 and 1747 is 3038033.

2. 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.

3. What are the Factors of 1747?

Answer: Factors of 1747 are 1, 1747. There are 2 integers that are factors of 1747. The greatest factor of 1747 is 1747.

4. How to Find the LCM of 1739 and 1747?

Answer:

Least Common Multiple of 1739 and 1747 = 3038033

Step 1: Find the prime factorization of 1739

1739 = 37 x 47

Step 2: Find the prime factorization of 1747

1747 = 1747

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

LCM = 3038033 = 37 x 47 x 1747

Step 4: Therefore, the least common multiple of 1739 and 1747 is 3038033.